12130753536 has 176 divisors, whose sum is σ = 39192353280. Its totient is φ = 3675893760.

The previous prime is 12130753507. The next prime is 12130753601. The reversal of 12130753536 is 63535703121.

12130753536 is a `hidden beast` number, since 1 + 21 + 30 + 75 + 3 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12130753536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284185 + ... + 324071.

Almost surely, 2^12130753536 is an apocalyptic number.

12130753536 is a gapful number since it is divisible by the number (16) 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 12130753536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19596176640).

12130753536 is an abundant number, since it is smaller than the sum of its proper divisors (27061599744).

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

12130753536 is a wasteful number, since it uses less digits than its factorization.

12130753536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39927 (or 39903 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

It can be divided in two parts, 12130753 and 536, that added together give a square (12131289 = 3483²).

The spelling of 12130753536 in words is "twelve billion, one hundred thirty million, seven hundred fifty-three thousand, five hundred thirty-six".