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12196656000000 = 21035563137
BaseRepresentation
bin1011000101111100000101…
…0110010010110000000000
31121011222200221000222200000
42301133001112102300000
53044312222414000000
641535022202400000
72366115335306253
oct261370126226000
947158627028600
1012196656000000
11398263338933a
12144b963500000
136a61a7c92324
1430246d90d09a
151623e2a00000
hexb17c1592c00

12196656000000 has 924 divisors, whose sum is σ = 45666386244024. Its totient is φ = 3251404800000.

The previous prime is 12196655999981. The next prime is 12196656000019. The reversal of 12196656000000 is 65669121.

12196656000000 is a `hidden beast` number, since 1 + 2 + 1 + 96 + 6 + 560 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12196655999981) and next prime (12196656000019).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 83 ways as a sum of consecutive naturals, for example, 3887998432 + ... + 3888001568.

Almost surely, 212196656000000 is an apocalyptic number.

12196656000000 is a gapful number since it is divisible by the number (10) 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 12196656000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22833193122012).

12196656000000 is an abundant number, since it is smaller than the sum of its proper divisors (33469730244024).

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

12196656000000 is an frugal number, since it uses more digits than its factorization.

12196656000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3147 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 12196656000000 in words is "twelve trillion, one hundred ninety-six billion, six hundred fifty-six million", and thus it is an aban number.