12151132160 has 156 divisors (see below), whose sum is σ = 30990386388. Its totient is φ = 4572315648.

The previous prime is 12151132151. The next prime is 12151132199. The reversal of 12151132160 is 6123115121.

It can be written as a sum of positive squares in 6 ways, for example, as 645566464 + 11505565696 = 25408^2 + 107264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5917694 + ... + 5919746.

It is an arithmetic number, because the mean of its divisors is an integer number (198656323).

Almost surely, 2^12151132160 is an apocalyptic number.

12151132160 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 12151132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15495193194).

12151132160 is an abundant number, since it is smaller than the sum of its proper divisors (18839254228).

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

12151132160 is an equidigital number, since it uses as much as digits as its factorization.

12151132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 12151132160 its reverse (6123115121), we get a palindrome (18274247281).

The spelling of 12151132160 in words is "twelve billion, one hundred fifty-one million, one hundred thirty-two thousand, one hundred sixty".