1252005233200 has 120 divisors (see below), whose sum is σ = 3048533787600. Its totient is φ = 494061204480.

The previous prime is 1252005233191. The next prime is 1252005233257. The reversal of 1252005233200 is 23325002521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23512206 + ... + 23565394.

It is an arithmetic number, because the mean of its divisors is an integer number (25404448230).

Almost surely, 2^{1252005233200} is an apocalyptic number.

1252005233200 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 1252005233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524266893800).

1252005233200 is an abundant number, since it is smaller than the sum of its proper divisors (1796528554400).

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

1252005233200 is a wasteful number, since it uses less digits than its factorization.

1252005233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53999 (or 53988 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 1252005233200 in words is "one trillion, two hundred fifty-two billion, five million, two hundred thirty-three thousand, two hundred".