1252177920 has 384 divisors, whose sum is σ = 5094835200. Its totient is φ = 285769728.

The previous prime is 1252177903. The next prime is 1252177933. The reversal of 1252177920 is 297712521.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1935037 + ... + 1935683.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 2^1252177920 is an apocalyptic number.

1252177920 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 1252177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547417600).

1252177920 is an abundant number, since it is smaller than the sum of its proper divisors (3842657280).

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

1252177920 is an equidigital number, since it uses as much as digits as its factorization.

1252177920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1252177920 is about 35386.1260948412. The cubic root of 1252177920 is about 1077.8426068710.

The spelling of 1252177920 in words is "one billion, two hundred fifty-two million, one hundred seventy-seven thousand, nine hundred twenty".