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12210923136 = 27397132749
BaseRepresentation
bin10110101111101001…
…11110011010000000
31011112000000011111110
423113310332122000
5200001444020021
65335402243320
7611412063666
oct132764763200
934460004443
1012210923136
1151a6825315
1224494b6540
1311c7a74909
1483ba44c36
154b7036476
hex2d7d3e680

12210923136 has 64 divisors (see below), whose sum is σ = 32469660000. Its totient is φ = 4065991680.

The previous prime is 12210923119. The next prime is 12210923159. The reversal of 12210923136 is 63132901221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356490 + ... + 389238.

Almost surely, 212210923136 is an apocalyptic number.

12210923136 is a gapful number since it is divisible by the number (16) 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 12210923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16234830000).

12210923136 is an abundant number, since it is smaller than the sum of its proper divisors (20258736864).

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

12210923136 is an equidigital number, since it uses as much as digits as its factorization.

12210923136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33737 (or 33725 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 12210923136 in words is "twelve billion, two hundred ten million, nine hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 971 1942 2913 3884 5826 7768 11652 15536 23304 31072 32749 46608 62144 65498 93216 98247 124288 130996 186432 196494 261992 372864 392988 523984 785976 1047968 1571952 2095936 3143904 4191872 6287808 12575616 31799279 63598558 95397837 127197116 190795674 254394232 381591348 508788464 763182696 1017576928 1526365392 2035153856 3052730784 4070307712 6105461568 12210923136