12114561672720 has 960 divisors, whose sum is σ = 45889541452800. Its totient is φ = 2935832739840.

The previous prime is 12114561672571. The next prime is 12114561672803. The reversal of 12114561672720 is 2727616541121.

12114561672720 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 4 + 5 + 616 + 7 + 2 + 7 + 20 = 666.

It is a super-3 number, since 3×12114561672720³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9129284697 + ... + 9129286023.

It is an arithmetic number, because the mean of its divisors is an integer number (47801605680).

Almost surely, 2^{12114561672720} is an apocalyptic number.

12114561672720 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 12114561672720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22944770726400).

12114561672720 is an abundant number, since it is smaller than the sum of its proper divisors (33774979780080).

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

12114561672720 is a wasteful number, since it uses less digits than its factorization.

12114561672720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12114561672720 in words is "twelve trillion, one hundred fourteen billion, five hundred sixty-one million, six hundred seventy-two thousand, seven hundred twenty".