12621270056472 has 1024 divisors, whose sum is σ = 45984153600000. Its totient is φ = 3178014497280.

The previous prime is 12621270056441. The next prime is 12621270056489. The reversal of 12621270056472 is 27465007212621.

12621270056472 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 12 + 7 + 0 + 0 + 564 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4175079553 + ... + 4175082575.

It is an arithmetic number, because the mean of its divisors is an integer number (44906400000).

Almost surely, 2^{12621270056472} is an apocalyptic number.

12621270056472 is a gapful number since it is divisible by the number (12) 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 12621270056472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22992076800000).

12621270056472 is an abundant number, since it is smaller than the sum of its proper divisors (33362883543528).

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

12621270056472 is a wasteful number, since it uses less digits than its factorization.

12621270056472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 12621270056472 in words is "twelve trillion, six hundred twenty-one billion, two hundred seventy million, fifty-six thousand, four hundred seventy-two".