23121133032400 has 120 divisors (see below), whose sum is σ = 60493638081240. Its totient is φ = 8441111838720.

The previous prime is 23121133032379. The next prime is 23121133032443. The reversal of 23121133032400 is 423033112132.

It can be written as a sum of positive squares in 12 ways, for example, as 8130390715456 + 14990742316944 = 2851384^2 + 3871788^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24516817 + ... + 25442416.

It is an arithmetic number, because the mean of its divisors is an integer number (504113650677).

Almost surely, 2^{23121133032400} is an apocalyptic number.

23121133032400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23121133032400 is an abundant number, since it is smaller than the sum of its proper divisors (37372505048840).

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

23121133032400 is a wasteful number, since it uses less digits than its factorization.

23121133032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49959353 (or 49959342 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 23121133032400 its reverse (423033112132), we get a palindrome (23544166144532).

The spelling of 23121133032400 in words is "twenty-three trillion, one hundred twenty-one billion, one hundred thirty-three million, thirty-two thousand, four hundred".