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121222212222222 = 2343739793754367
BaseRepresentation
bin11011100100000000111110…
…111001011111110100001110
3120220012201201101200221120000
4123210000332321133310032
5111342101042312102342
61105452414314305130
734351005265516446
oct3344007671376416
9526181641627500
10121222212222222
11356970625a7651
12117198157281a6
13528428980cb27
1421d12875bd126
15e034043e044c
hex6e403ee5fd0e

121222212222222 has 160 divisors (see below), whose sum is σ = 279975152126208. Its totient is φ = 39173707482624.

The previous prime is 121222212222203. The next prime is 121222212222229. The reversal of 121222212222222 is 222222212222121.

121222212222222 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 2 + 212 + 222 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121222212222229) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2229674883 + ... + 2229729249.

Almost surely, 2121222212222222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121222212222222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139987576063104).

121222212222222 is an abundant number, since it is smaller than the sum of its proper divisors (158752939903986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121222212222222 is a wasteful number, since it uses less digits than its factorization.

121222212222222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55752 (or 55743 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 121222212222222 its reverse (222222212222121), we get a palindrome (343444424444343).

The spelling of 121222212222222 in words is "one hundred twenty-one trillion, two hundred twenty-two billion, two hundred twelve million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 397 666 794 937 999 1191 1874 1998 2382 2811 2997 3573 5622 5994 7146 8433 10719 14689 16866 21438 25299 29378 32157 34669 44067 50598 54367 64314 69338 75897 88134 104007 108734 132201 151794 163101 208014 264402 312021 326202 371989 396603 489303 624042 743978 793206 936063 978606 1115967 1189809 1467909 1872126 2011579 2231934 2379618 2808189 2935818 3347901 4023158 4403727 5616378 6034737 6695802 8807454 10043703 12069474 13763593 18104211 20087406 21583699 27527186 30131109 36208422 41290779 43167398 50941879 54312633 60262218 64751097 82581558 101883758 108625266 123872337 129502194 152825637 162937899 194253291 247744674 305651274 325875798 371617011 388506582 458476911 582759873 743234022 798596863 916953822 1114851033 1165519746 1375430733 1597193726 1748279619 1884849523 2229702066 2395790589 2750861466 3496559238 3769699046 4126292199 4791581178 5654548569 7187371767 8252584398 11309097138 14374743534 16963645707 20223925963 21562115301 33927291414 40447851926 43124230602 50890937121 60671777889 64686345903 101781874242 121343555778 129372691806 152672811363 182015333667 305345622726 364030667334 546046001001 748285260631 1092092002002 1496570521262 1638138003003 2244855781893 3276276006006 4489711563786 6734567345679 13469134691358 20203702037037 40407404074074 60611106111111 121222212222222