1412112400 has 60 divisors (see below), whose sum is σ = 3484328452. Its totient is φ = 549573120.

The previous prime is 1412112349. The next prime is 1412112461. The reversal of 1412112400 is 42112141.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7661824 + 1404450576 = 2768^2 + 37476^2 .

It is a super-2 number, since 2×1412112400² = 3988122860467520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 32907 + ... + 62506.

Almost surely, 2^1412112400 is an apocalyptic number.

1412112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1412112400 is an abundant number, since it is smaller than the sum of its proper divisors (2072216052).

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

1412112400 is a wasteful number, since it uses less digits than its factorization.

1412112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95468 (or 95457 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1412112400 is about 37578.0840384392. The cubic root of 1412112400 is about 1121.9058748806.

Adding to 1412112400 its reverse (42112141), we get a palindrome (1454224541).

The spelling of 1412112400 in words is "one billion, four hundred twelve million, one hundred twelve thousand, four hundred".