3012112240400 has 30 divisors (see below), whose sum is σ = 7236599658522. Its totient is φ = 1204844896000.

The previous prime is 3012112240339. The next prime is 3012112240409. The reversal of 3012112240400 is 40422112103.

It can be written as a sum of positive squares in 3 ways, for example, as 28394946064 + 2983717294336 = 168508^2 + 1727344^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3012112240409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3765139901 + ... + 3765140700.

Almost surely, 2^{3012112240400} is an apocalyptic number.

It is an amenable number.

3012112240400 is an abundant number, since it is smaller than the sum of its proper divisors (4224487418122).

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

3012112240400 is a wasteful number, since it uses less digits than its factorization.

3012112240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530280619 (or 7530280608 counting only the distinct ones).

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

Adding to 3012112240400 its reverse (40422112103), we get a palindrome (3052534352503).

The spelling of 3012112240400 in words is "three trillion, twelve billion, one hundred twelve million, two hundred forty thousand, four hundred".