12061340027136 has 81 divisors (see below), whose sum is σ = 34776297401209. Its totient is φ = 4020391108608.

The previous prime is 12061340027039. The next prime is 12061340027137. The reversal of 12061340027136 is 63172004316021.

The square root of 12061340027136 is 3472944.

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

12061340027136 is a `hidden beast` number, since 1 + 2 + 0 + 613 + 4 + 0 + 0 + 2 + 7 + 1 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11711179065600 + 350160961536 = 3422160^2 + 591744^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12061340027136.

It is not an unprimeable number, because it can be changed into a prime (12061340027137) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 166665136 + ... + 166737488.

Almost surely, 2^{12061340027136} is an apocalyptic number.

12061340027136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12061340027136 is the 3472944-th square number.

It is an amenable number.

12061340027136 is an abundant number, since it is smaller than the sum of its proper divisors (22714957374073).

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

12061340027136 is an frugal number, since it uses more digits than its factorization.

12061340027136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144728 (or 72358 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 12061340027136 by its sum of digits (36), we get a square (434208240976896 = 20837664²).

12061340027136 divided by its sum of digits (36) gives a square (335037222976 = 578824²).

The spelling of 12061340027136 in words is "twelve trillion, sixty-one billion, three hundred forty million, twenty-seven thousand, one hundred thirty-six".