12135450400 has 72 divisors (see below), whose sum is σ = 30127915440. Its totient is φ = 4771887360.

The previous prime is 12135450373. The next prime is 12135450401. The reversal of 12135450400 is 405453121.

It is a happy number.

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 (12135450401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81354 + ... + 175753.

It is an arithmetic number, because the mean of its divisors is an integer number (418443270).

Almost surely, 2^12135450400 is an apocalyptic number.

12135450400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12135450400 is an abundant number, since it is smaller than the sum of its proper divisors (17992465040).

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

12135450400 is a wasteful number, since it uses less digits than its factorization.

12135450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257186 (or 257173 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 12135450400 in words is "twelve billion, one hundred thirty-five million, four hundred fifty thousand, four hundred".