3125012400 has 150 divisors (see below), whose sum is σ = 11215535012. Its totient is φ = 833328000.

The previous prime is 3125012399. The next prime is 3125012413. The reversal of 3125012400 is 42105213.

3125012400 is a `hidden beast` number, since 3 + 1 + 250 + 12 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15826 + ... + 80625.

Almost surely, 2^3125012400 is an apocalyptic number.

3125012400 is a gapful number since it is divisible by the number (30) 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 3125012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607767506).

3125012400 is an abundant number, since it is smaller than the sum of its proper divisors (8090522612).

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

3125012400 is a wasteful number, since it uses less digits than its factorization.

3125012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96481 (or 96461 counting only the distinct ones).

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

The square root of 3125012400 is about 55901.8103463564. The cubic root of 3125012400 is about 1462.0108028543.

Adding to 3125012400 its reverse (42105213), we get a palindrome (3167117613).

The spelling of 3125012400 in words is "three billion, one hundred twenty-five million, twelve thousand, four hundred".