1012248800 has 36 divisors (see below), whose sum is σ = 2471154336. Its totient is φ = 404899200.

The previous prime is 1012248793. The next prime is 1012248803. The reversal of 1012248800 is 88422101.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1012248800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012248803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 631856 + ... + 633455.

It is an arithmetic number, because the mean of its divisors is an integer number (68643176).

Almost surely, 2^1012248800 is an apocalyptic number.

1012248800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012248800 is an abundant number, since it is smaller than the sum of its proper divisors (1458905536).

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

1012248800 is a wasteful number, since it uses less digits than its factorization.

1012248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265331 (or 1265318 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 1012248800 is about 31815.8576813513. The cubic root of 1012248800 is about 1004.0663755105.

The spelling of 1012248800 in words is "one billion, twelve million, two hundred forty-eight thousand, eight hundred".