1012212400 has 60 divisors (see below), whose sum is σ = 2435043304. Its totient is φ = 404352000.

The previous prime is 1012212361. The next prime is 1012212407. The reversal of 1012212400 is 42122101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1012212407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 467320 + ... + 469480.

Almost surely, 2^1012212400 is an apocalyptic number.

1012212400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012212400 is an abundant number, since it is smaller than the sum of its proper divisors (1422830904).

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

1012212400 is a wasteful number, since it uses less digits than its factorization.

1012212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1012212400 is about 31815.2856344242. The cubic root of 1012212400 is about 1004.0543401116.

Adding to 1012212400 its reverse (42122101), we get a palindrome (1054334501).

It can be divided in two parts, 10122 and 12400, that added together give a palindrome (22522).

The spelling of 1012212400 in words is "one billion, twelve million, two hundred twelve thousand, four hundred".