1252125600 has 288 divisors, whose sum is σ = 4553708544. Its totient is φ = 296217600.

The previous prime is 1252125587. The next prime is 1252125647. The reversal of 1252125600 is 65212521.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1134649 + ... + 1135751.

It is an arithmetic number, because the mean of its divisors is an integer number (15811488).

Almost surely, 2^1252125600 is an apocalyptic number.

1252125600 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 1252125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276854272).

1252125600 is an abundant number, since it is smaller than the sum of its proper divisors (3301582944).

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

1252125600 is a wasteful number, since it uses less digits than its factorization.

1252125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1252125600 is about 35385.3868143334. The cubic root of 1252125600 is about 1077.8275947577.

The spelling of 1252125600 in words is "one billion, two hundred fifty-two million, one hundred twenty-five thousand, six hundred".