12025310400 has 252 divisors, whose sum is σ = 45255877992. Its totient is φ = 3018055680.

The previous prime is 12025310351. The next prime is 12025310447. The reversal of 12025310400 is 401352021.

12025310400 is a `hidden beast` number, since 1 + 2 + 0 + 253 + 10 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220239 + ... + 269361.

Almost surely, 2^12025310400 is an apocalyptic number.

12025310400 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 12025310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22627938996).

12025310400 is an abundant number, since it is smaller than the sum of its proper divisors (33230567592).

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

12025310400 is a wasteful number, since it uses less digits than its factorization.

12025310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49168 (or 49150 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 12025310400 its reverse (401352021), we get a palindrome (12426662421).

The spelling of 12025310400 in words is "twelve billion, twenty-five million, three hundred ten thousand, four hundred".