12131260164 has 135 divisors (see below), whose sum is σ = 33001189221. Its totient is φ = 3885809760.

The previous prime is 12131260157. The next prime is 12131260171. The reversal of 12131260164 is 46106213121.

It is a happy number.

The square root of 12131260164 is 110142.

It is a perfect power (a square), and thus also a powerful number.

12131260164 is a `hidden beast` number, since 1 + 21 + 31 + 2 + 601 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12131260157) and next prime (12131260171).

It can be written as a sum of positive squares in only one way, i.e., 6361338564 + 5769921600 = 79758^2 + 75960^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 57494019 + ... + 57494229.

Almost surely, 2^12131260164 is an apocalyptic number.

12131260164 is the 110142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131260164

12131260164 is an abundant number, since it is smaller than the sum of its proper divisors (20869929057).

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

12131260164 is an equidigital number, since it uses as much as digits as its factorization.

12131260164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 12131260164 its reverse (46106213121), we get a palindrome (58237473285).

It can be divided in two parts, 121312 and 60164, that added together give a square (181476 = 426²).

The spelling of 12131260164 in words is "twelve billion, one hundred thirty-one million, two hundred sixty thousand, one hundred sixty-four".