20121626475600 has 960 divisors, whose sum is σ = 77843767680000. Its totient is φ = 4389038161920.

The previous prime is 20121626475569. The next prime is 20121626475607. The reversal of 20121626475600 is 657462612102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121626475607) 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 191 ways as a sum of consecutive naturals, for example, 821312151 + ... + 821336649.

It is an arithmetic number, because the mean of its divisors is an integer number (81087258000).

Almost surely, 2^{20121626475600} is an apocalyptic number.

20121626475600 is a gapful number since it is divisible by the number (20) 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 20121626475600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38921883840000).

20121626475600 is an abundant number, since it is smaller than the sum of its proper divisors (57722141204400).

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

20121626475600 is a wasteful number, since it uses less digits than its factorization.

20121626475600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24732 (or 24721 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 20121626475600 in words is "twenty trillion, one hundred twenty-one billion, six hundred twenty-six million, four hundred seventy-five thousand, six hundred".