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12055211625996 = 223271153601136531
BaseRepresentation
bin1010111101101101001010…
…0110110100111000001100
31120200110121102111022021100
42233123102212310320030
53040003033134012441
641350030542503100
72352650245051110
oct257332246647014
946613542438240
1012055211625996
11392864a758680
121428469b94a90
13695a560b6176
142d969253b740
1515d8b50c0cb6
hexaf6d29b4e0c

12055211625996 has 288 divisors, whose sum is σ = 38773707388416. Its totient is φ = 3067009920000.

The previous prime is 12055211625991. The next prime is 12055211626027. The reversal of 12055211625996 is 69952611255021.

12055211625996 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 5 + 2 + 1 + 1 + 625 + 9 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (12055211625991) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 88228251 + ... + 88364781.

It is an arithmetic number, because the mean of its divisors is an integer number (134630928432).

Almost surely, 212055211625996 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 12055211625996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19386853694208).

12055211625996 is an abundant number, since it is smaller than the sum of its proper divisors (26718495762420).

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

12055211625996 is a wasteful number, since it uses less digits than its factorization.

12055211625996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137213 (or 137208 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 12055211625996 in words is "twelve trillion, fifty-five billion, two hundred eleven million, six hundred twenty-five thousand, nine hundred ninety-six".