12626221608000 has 4032 divisors, whose sum is σ = 63927954155520. Its totient is φ = 2335592448000.

The previous prime is 12626221607969. The next prime is 12626221608019. The reversal of 12626221608000 is 80612262621.

It is a happy number.

12626221608000 is a `hidden beast` number, since 1 + 2 + 6 + 26 + 2 + 21 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×12626221608000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 14630615569 + ... + 14630616431.

It is an arithmetic number, because the mean of its divisors is an integer number (15855147360).

Almost surely, 2^{12626221608000} is an apocalyptic number.

12626221608000 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 12626221608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31963977077760).

12626221608000 is an abundant number, since it is smaller than the sum of its proper divisors (51301732547520).

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

12626221608000 is a wasteful number, since it uses less digits than its factorization.

12626221608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12626221608000 in words is "twelve trillion, six hundred twenty-six billion, two hundred twenty-one million, six hundred eight thousand".