1252160000 has 400 divisors, whose sum is σ = 3937289664. Its totient is φ = 387072000.

The previous prime is 1252159949. The next prime is 1252160011. The reversal of 1252160000 is 612521.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29119979 + ... + 29120021.

Almost surely, 2^1252160000 is an apocalyptic number.

1252160000 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 1252160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968644832).

1252160000 is an abundant number, since it is smaller than the sum of its proper divisors (2685129664).

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

1252160000 is an frugal number, since it uses more digits than its factorization.

1252160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1252160000 is about 35385.8728873544. The cubic root of 1252160000 is about 1077.8374651545.

Adding to 1252160000 its reverse (612521), we get a palindrome (1252772521).

The spelling of 1252160000 in words is "one billion, two hundred fifty-two million, one hundred sixty thousand".