23412663212400 has 3600 divisors, whose sum is σ = 111255422054400. Its totient is φ = 4452738048000.

The previous prime is 23412663212381. The next prime is 23412663212417. The reversal of 23412663212400 is 421236621432.

23412663212400 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 2 + 6 + 632 + 12 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 263063631556 + ... + 263063631644.

It is an arithmetic number, because the mean of its divisors is an integer number (30904283904).

Almost surely, 2^{23412663212400} is an apocalyptic number.

23412663212400 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 23412663212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55627711027200).

23412663212400 is an abundant number, since it is smaller than the sum of its proper divisors (87842758842000).

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

23412663212400 is a wasteful number, since it uses less digits than its factorization.

23412663212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 23412663212400 its reverse (421236621432), we get a palindrome (23833899833832).

The spelling of 23412663212400 in words is "twenty-three trillion, four hundred twelve billion, six hundred sixty-three million, two hundred twelve thousand, four hundred".