23201012244400 has 240 divisors, whose sum is σ = 61288690487040. Its totient is φ = 8400980966400.

The previous prime is 23201012244367. The next prime is 23201012244409. The reversal of 23201012244400 is 444221010232.

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

It is not an unprimeable number, because it can be changed into a prime (23201012244409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169662454 + ... + 169799146.

It is an arithmetic number, because the mean of its divisors is an integer number (255369543696).

Almost surely, 2^{23201012244400} is an apocalyptic number.

23201012244400 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 23201012244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30644345243520).

23201012244400 is an abundant number, since it is smaller than the sum of its proper divisors (38087678242640).

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

23201012244400 is a wasteful number, since it uses less digits than its factorization.

23201012244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137724 (or 137713 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 23201012244400 its reverse (444221010232), we get a palindrome (23645233254632).

The spelling of 23201012244400 in words is "twenty-three trillion, two hundred one billion, twelve million, two hundred forty-four thousand, four hundred".