1012492800 has 720 divisors, whose sum is σ = 4274404992. Its totient is φ = 226099200.

The previous prime is 1012492759. The next prime is 1012492801. The reversal of 1012492800 is 82942101.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (1012492801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21542377 + ... + 21542423.

Almost surely, 2^1012492800 is an apocalyptic number.

1012492800 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 1012492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137202496).

1012492800 is an abundant number, since it is smaller than the sum of its proper divisors (3261912192).

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

1012492800 is a wasteful number, since it uses less digits than its factorization.

1012492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1012492800 is about 31819.6920161085. The cubic root of 1012492800 is about 1004.1470449116.

The spelling of 1012492800 in words is "one billion, twelve million, four hundred ninety-two thousand, eight hundred".