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122212011020 = 225112376913399
BaseRepresentation
bin111000111010001100…
…1110100110000001100
3102200110011110102011112
41301310121310300030
54000242233323040
6132050551311152
711554345645061
oct1616431646014
9380404412145
10122212011020
1147914548800
121b82867b4b8
13b6a8562a28
145cb502cc68
1532a4296365
hex1c74674c0c

122212011020 has 72 divisors (see below), whose sum is σ = 282193548000. Its totient is φ = 44425624320.

The previous prime is 122212011017. The next prime is 122212011041. The reversal of 122212011020 is 20110212221.

It is a junction number, because it is equal to n+sod(n) for n = 122212010986 and 122212011004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9114281 + ... + 9127679.

Almost surely, 2122212011020 is an apocalyptic number.

122212011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122212011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141096774000).

122212011020 is an abundant number, since it is smaller than the sum of its proper divisors (159981536980).

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

122212011020 is a wasteful number, since it uses less digits than its factorization.

122212011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17199 (or 17186 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122212011020 its reverse (20110212221), we get a palindrome (142322223241).

It can be divided in two parts, 12221201 and 1020, that added together give a palindrome (12222221).

The spelling of 122212011020 in words is "one hundred twenty-two billion, two hundred twelve million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 3769 7538 13399 15076 18845 26798 37690 41459 53596 66995 75380 82918 133990 147389 165836 207295 267980 294778 414590 456049 589556 736945 829180 912098 1473890 1621279 1824196 2280245 2947780 3242558 4560490 6485116 8106395 9120980 16212790 32425580 50500831 101001662 202003324 252504155 505008310 555509141 1010016620 1111018282 2222036564 2777545705 5555091410 6110600551 11110182820 12221201102 24442402204 30553002755 61106005510 122212011020