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12212202222 = 2331123893881
BaseRepresentation
bin10110101111110011…
…10110101011101110
31011112002102011002000
423113321312223232
5200002310432342
65335445513130
7611426002053
oct132771665356
934462364060
1012212202222
1151a7519310
122449a127a6
1311c8101b7c
1483bc9902a
154b71da44c
hex2d7e76aee

12212202222 has 64 divisors (see below), whose sum is σ = 30892561920. Its totient is φ = 3539764800.

The previous prime is 12212202181. The next prime is 12212202239. The reversal of 12212202222 is 22220221221.

12212202222 is a `hidden beast` number, since 1 + 221 + 220 + 2 + 222 = 666.

It is a super-2 number, since 2×122122022222 (a number of 21 digits) contains 22 as substring.

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 = 12212202195 and 12212202204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433279 + ... + 460602.

It is an arithmetic number, because the mean of its divisors is an integer number (482696280).

Almost surely, 212212202222 is an apocalyptic number.

12212202222 is an abundant number, since it is smaller than the sum of its proper divisors (18680359698).

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

12212202222 is a wasteful number, since it uses less digits than its factorization.

12212202222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893926 (or 893920 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12212202222 its reverse (22220221221), we get a palindrome (34432423443).

The spelling of 12212202222 in words is "twelve billion, two hundred twelve million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 13662 893881 1787762 2681643 5363286 8044929 9832691 16089858 19665382 20559263 24134787 29498073 41118526 48269574 58996146 61677789 88494219 123355578 176988438 185033367 226151893 265482657 370066734 452303786 530965314 555100101 678455679 1110200202 1356911358 2035367037 4070734074 6106101111 12212202222