1252830120 has 128 divisors (see below), whose sum is σ = 3861872640. Its totient is φ = 324988160.

The previous prime is 1252830107. The next prime is 1252830149. The reversal of 1252830120 is 210382521.

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 31 ways as a sum of consecutive naturals, for example, 1076659 + ... + 1077821.

It is an arithmetic number, because the mean of its divisors is an integer number (30170880).

Almost surely, 2^1252830120 is an apocalyptic number.

1252830120 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 1252830120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930936320).

1252830120 is an abundant number, since it is smaller than the sum of its proper divisors (2609042520).

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

1252830120 is a wasteful number, since it uses less digits than its factorization.

1252830120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1252830120 is about 35395.3403712975. The cubic root of 1252830120 is about 1078.0297067297.

The spelling of 1252830120 in words is "one billion, two hundred fifty-two million, eight hundred thirty thousand, one hundred twenty".