1012987800 has 216 divisors, whose sum is σ = 3740138220. Its totient is φ = 245520000.

The previous prime is 1012987783. The next prime is 1012987819. The reversal of 1012987800 is 87892101.

It is a super-2 number, since 2×1012987800² = 2052288565897680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 215475 + ... + 220125.

Almost surely, 2^1012987800 is an apocalyptic number.

1012987800 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 1012987800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870069110).

1012987800 is an abundant number, since it is smaller than the sum of its proper divisors (2727150420).

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

1012987800 is a wasteful number, since it uses less digits than its factorization.

1012987800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4695 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1012987800 is about 31827.4692679138. The cubic root of 1012987800 is about 1004.3106581927.

The spelling of 1012987800 in words is "one billion, twelve million, nine hundred eighty-seven thousand, eight hundred".