1252634112 has 320 divisors, whose sum is σ = 3980697600. Its totient is φ = 388177920.

The previous prime is 1252634107. The next prime is 1252634113. The reversal of 1252634112 is 2114362521.

1252634112 is a `hidden beast` number, since 1 + 25 + 2 + 634 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252634113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15856089 + ... + 15856167.

It is an arithmetic number, because the mean of its divisors is an integer number (12439680).

Almost surely, 2^1252634112 is an apocalyptic number.

1252634112 is a gapful number since it is divisible by the number (12) 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 1252634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990348800).

1252634112 is an abundant number, since it is smaller than the sum of its proper divisors (2728063488).

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

1252634112 is an equidigital number, since it uses as much as digits as its factorization.

1252634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 152 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1252634112 is about 35392.5714239584. The cubic root of 1252634112 is about 1077.9734837660.

Adding to 1252634112 its reverse (2114362521), we get a palindrome (3366996633).

The spelling of 1252634112 in words is "one billion, two hundred fifty-two million, six hundred thirty-four thousand, one hundred twelve".