1292125200 has 60 divisors (see below), whose sum is σ = 4139111568. Its totient is φ = 344566400.

The previous prime is 1292125151. The next prime is 1292125223. The reversal of 1292125200 is 25212921.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 537186 + ... + 539585.

Almost surely, 2^1292125200 is an apocalyptic number.

1292125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1292125200 is an abundant number, since it is smaller than the sum of its proper divisors (2846986368).

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

1292125200 is a wasteful number, since it uses less digits than its factorization.

1292125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076792 (or 1076781 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1292125200 is about 35946.1430476206. The cubic root of 1292125200 is about 1089.1847002014.

The spelling of 1292125200 in words is "one billion, two hundred ninety-two million, one hundred twenty-five thousand, two hundred".