1012114400 has 72 divisors (see below), whose sum is σ = 2695468104. Its totient is φ = 368038400.

The previous prime is 1012114387. The next prime is 1012114421. The reversal of 1012114400 is 44112101.

1012114400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 48707 + ... + 66306.

It is an arithmetic number, because the mean of its divisors is an integer number (37437057).

Almost surely, 2^1012114400 is an apocalyptic number.

1012114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012114400 is an abundant number, since it is smaller than the sum of its proper divisors (1683353704).

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

1012114400 is a wasteful number, since it uses less digits than its factorization.

1012114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115044 (or 115031 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1012114400 is about 31813.7454569562. The cubic root of 1012114400 is about 1004.0219356805.

Adding to 1012114400 its reverse (44112101), we get a palindrome (1056226501).

The spelling of 1012114400 in words is "one billion, twelve million, one hundred fourteen thousand, four hundred".