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12212202112 = 271114958211
BaseRepresentation
bin10110101111110011…
…10110101010000000
31011112002102010220221
423113321312222000
5200002310431422
65335445512424
7611426001535
oct132771665200
934462363827
1012212202112
1151a7519220
122449a12714
1311c8101ac6
1483bc98d8c
154b71da3c7
hex2d7e76a80

12212202112 has 64 divisors (see below), whose sum is σ = 26719308000. Its totient is φ = 5513651200.

The previous prime is 12212202109. The next prime is 12212202113. The reversal of 12212202112 is 21120221221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12212202113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180687 + ... + 238897.

Almost surely, 212212202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13359654000).

12212202112 is an abundant number, since it is smaller than the sum of its proper divisors (14507105888).

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

12212202112 is a wasteful number, since it uses less digits than its factorization.

12212202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58385 (or 58373 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12212202112 its reverse (21120221221), we get a palindrome (33332423333).

The spelling of 12212202112 in words is "twelve billion, two hundred twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 149 176 298 352 596 704 1192 1408 1639 2384 3278 4768 6556 9536 13112 19072 26224 52448 58211 104896 116422 209792 232844 465688 640321 931376 1280642 1862752 2561284 3725504 5122568 7451008 8673439 10245136 17346878 20490272 34693756 40980544 69387512 81961088 95407829 138775024 190815658 277550048 381631316 555100096 763262632 1110200192 1526525264 3053050528 6106101056 12212202112