1012400 has 30 divisors (see below), whose sum is σ = 2433252. Its totient is φ = 404800.

The previous prime is 1012399. The next prime is 1012411. The reversal of 1012400 is 42101.

1012400 = T₂₇₂ + T₂₇₃ + ... + T₂₉₆.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 866 + ... + 1665.

2^1012400 is an apocalyptic number.

1012400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012400 is an abundant number, since it is smaller than the sum of its proper divisors (1420852).

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

1012400 is a wasteful number, since it uses less digits than its factorization.

1012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1012400 is about 1006.1808982484. The cubic root of 1012400 is about 100.4116365618.

Adding to 1012400 its reverse (42101), we get a palindrome (1054501).

Subtracting from 1012400 its reverse (42101), we obtain a cube (970299 = 99³).

The spelling of 1012400 in words is "one million, twelve thousand, four hundred".