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12211011221120 = 27519079705033
BaseRepresentation
bin1011000110110001100011…
…1111000111011010000000
31121020100202100220210000022
42301230120333013122000
53100031122333033440
641545354444513012
72400134145546005
oct261543077073200
947210670823008
1012211011221120
11398872a548448
1214526aab4b768
136a76550649ca
143030322518ac
15162982dedcb5
hexb1b18fc7680

12211011221120 has 32 divisors (see below), whose sum is σ = 29191948702020. Its totient is φ = 4884404488192.

The previous prime is 12211011221111. The next prime is 12211011221177. The reversal of 12211011221120 is 2112211011221.

It can be written as a sum of positive squares in 2 ways, for example, as 12001679350336 + 209331870784 = 3464344^2 + 457528^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9539851877 + ... + 9539853156.

Almost surely, 212211011221120 is an apocalyptic number.

12211011221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211011221120 is an abundant number, since it is smaller than the sum of its proper divisors (16980937480900).

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

12211011221120 is an equidigital number, since it uses as much as digits as its factorization.

12211011221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19079705052 (or 19079705040 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12211011221120 its reverse (2112211011221), we get a palindrome (14323222232341).

The spelling of 12211011221120 in words is "twelve trillion, two hundred eleven billion, eleven million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 19079705033 38159410066 76318820132 95398525165 152637640264 190797050330 305275280528 381594100660 610550561056 763188201320 1221101122112 1526376402640 2442202244224 3052752805280 6105505610560 12211011221120