1012132800 has 336 divisors, whose sum is σ = 4217944320. Its totient is φ = 231275520.

The previous prime is 1012132783. The next prime is 1012132819. The reversal of 1012132800 is 82312101.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300727 + ... + 304073.

Almost surely, 2^1012132800 is an apocalyptic number.

1012132800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108972160).

1012132800 is an abundant number, since it is smaller than the sum of its proper divisors (3205811520).

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

1012132800 is a wasteful number, since it uses less digits than its factorization.

1012132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1012132800 is about 31814.0346388194. The cubic root of 1012132800 is about 1004.0280199373.

Adding to 1012132800 its reverse (82312101), we get a palindrome (1094444901).

The spelling of 1012132800 in words is "one billion, twelve million, one hundred thirty-two thousand, eight hundred".