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1122121110222 = 232717971969197
BaseRepresentation
bin10000010101000011101…
…000010101001011001110
310222021101112211121012100
4100111003220111023032
5121341101001011342
62215254553415530
7144033131030160
oct20250350251316
93867345747170
101122121110222
113a2986127572
1216158410a5a6
1381a7aa525c8
143c44d372930
151e2c7a53e4c
hex10543a152ce

1122121110222 has 96 divisors (see below), whose sum is σ = 2798034969600. Its totient is φ = 318366921024.

The previous prime is 1122121110199. The next prime is 1122121110289. The reversal of 1122121110222 is 2220111212211.

1122121110222 is a `hidden beast` number, since 1 + 1 + 221 + 211 + 10 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1122121110195 and 1122121110204.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 16181728 + ... + 16250924.

It is an arithmetic number, because the mean of its divisors is an integer number (29146197600).

Almost surely, 21122121110222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122121110222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399017484800).

1122121110222 is an abundant number, since it is smaller than the sum of its proper divisors (1675913859378).

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

1122121110222 is a wasteful number, since it uses less digits than its factorization.

1122121110222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70110 (or 70107 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1122121110222 its reverse (2220111212211), we get a palindrome (3342232322433).

The spelling of 1122121110222 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 179 358 537 719 1074 1253 1438 1611 2157 2506 3222 3759 4314 5033 6471 7518 10066 11277 12942 15099 22554 30198 45297 69197 90594 128701 138394 207591 257402 386103 415182 484379 622773 772206 900907 968758 1158309 1245546 1453137 1801814 2316618 2702721 2906274 4359411 5405442 8108163 8718822 12386263 16216326 24772526 37158789 49752643 74317578 86703841 99505286 111476367 149257929 173407682 222952734 260111523 298515858 348268501 447773787 520223046 696537002 780334569 895547574 1044805503 1560669138 2089611006 3134416509 6268833018 8905723097 17811446194 26717169291 53434338582 62340061679 80151507873 124680123358 160303015746 187020185037 374040370074 561060555111 1122121110222