23121210002400 has 576 divisors, whose sum is σ = 88051026873600. Its totient is φ = 5839278336000.

The previous prime is 23121210002333. The next prime is 23121210002413. The reversal of 23121210002400 is 420001212132.

It is a happy number.

23121210002400 is a `hidden beast` number, since 2 + 31 + 21 + 210 + 0 + 0 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1650211395 + ... + 1650225405.

It is an arithmetic number, because the mean of its divisors is an integer number (152866366100).

Almost surely, 2^{23121210002400} is an apocalyptic number.

23121210002400 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 23121210002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44025513436800).

23121210002400 is an abundant number, since it is smaller than the sum of its proper divisors (64929816871200).

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

23121210002400 is a wasteful number, since it uses less digits than its factorization.

23121210002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18080 (or 18061 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 23121210002400 its reverse (420001212132), we get a palindrome (23541211214532).

The spelling of 23121210002400 in words is "twenty-three trillion, one hundred twenty-one billion, two hundred ten million, two thousand, four hundred".