12533110400 has 96 divisors (see below), whose sum is σ = 31485931200. Its totient is φ = 4928199680.

The previous prime is 12533110399. The next prime is 12533110423. The reversal of 12533110400 is 401133521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155609 + ... + 221991.

It is an arithmetic number, because the mean of its divisors is an integer number (327978450).

Almost surely, 2^12533110400 is an apocalyptic number.

12533110400 is a gapful number since it is divisible by the number (10) 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 12533110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15742965600).

12533110400 is an abundant number, since it is smaller than the sum of its proper divisors (18952820800).

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

12533110400 is an equidigital number, since it uses as much as digits as its factorization.

12533110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66466 (or 66449 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 12533110400 its reverse (401133521), we get a palindrome (12934243921).

The spelling of 12533110400 in words is "twelve billion, five hundred thirty-three million, one hundred ten thousand, four hundred".