3012100144400 has 60 divisors (see below), whose sum is σ = 7259399200932. Its totient is φ = 1201039249920.

The previous prime is 3012100144399. The next prime is 3012100144433. The reversal of 3012100144400 is 44410012103.

3012100144400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1166806115344 + 1845294029056 = 1080188^2 + 1358416^2 .

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, 11750567 + ... + 12004166.

Almost surely, 2^{3012100144400} is an apocalyptic number.

It is an amenable number.

3012100144400 is an abundant number, since it is smaller than the sum of its proper divisors (4247299056532).

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

3012100144400 is a wasteful number, since it uses less digits than its factorization.

3012100144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23755068 (or 23755057 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 3012100144400 its reverse (44410012103), we get a palindrome (3056510156503).

The spelling of 3012100144400 in words is "three trillion, twelve billion, one hundred million, one hundred forty-four thousand, four hundred".