12114766630272 has 128 divisors (see below), whose sum is σ = 32648379153120. Its totient is φ = 3979553587200.

The previous prime is 12114766630231. The next prime is 12114766630273. The reversal of 12114766630272 is 27203666741121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114766630273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32922822 + ... + 33288762.

Almost surely, 2^{12114766630272} is an apocalyptic number.

12114766630272 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 12114766630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16324189576560).

12114766630272 is an abundant number, since it is smaller than the sum of its proper divisors (20533612522848).

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

12114766630272 is a wasteful number, since it uses less digits than its factorization.

12114766630272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367212 (or 367200 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 12114766630272 in words is "twelve trillion, one hundred fourteen billion, seven hundred sixty-six million, six hundred thirty thousand, two hundred seventy-two".