12279011117760 has 672 divisors, whose sum is σ = 45194487736320. Its totient is φ = 3050862796800.

The previous prime is 12279011117749. The next prime is 12279011117837. The reversal of 12279011117760 is 6771111097221.

12279011117760 is a `hidden beast` number, since 1 + 227 + 90 + 111 + 177 + 60 = 666.

It is a super-2 number, since 2×12279011117760² (a number of 27 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1674483054 + ... + 1674490386.

Almost surely, 2^{12279011117760} is an apocalyptic number.

12279011117760 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 12279011117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22597243868160).

12279011117760 is an abundant number, since it is smaller than the sum of its proper divisors (32915476618560).

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

12279011117760 is a wasteful number, since it uses less digits than its factorization.

12279011117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7877 (or 7864 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 45.

The spelling of 12279011117760 in words is "twelve trillion, two hundred seventy-nine billion, eleven million, one hundred seventeen thousand, seven hundred sixty".