12115661677200 has 360 divisors, whose sum is σ = 43456168610088. Its totient is φ = 3123495198720.

The previous prime is 12115661677199. The next prime is 12115661677201. The reversal of 12115661677200 is 277616651121.

12115661677200 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 5 + 6 + 616 + 7 + 7 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12115661677199) and next prime (12115661677201).

It can be written as a sum of positive squares in 12 ways, for example, as 2297516251536 + 9818145425664 = 1515756^2 + 3133392^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (12115661677201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20622724 + ... + 21202076.

Almost surely, 2^{12115661677200} is an apocalyptic number.

12115661677200 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 12115661677200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21728084305044).

12115661677200 is an abundant number, since it is smaller than the sum of its proper divisors (31340506932888).

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

12115661677200 is a wasteful number, since it uses less digits than its factorization.

12115661677200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579571 (or 579557 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 12115661677200 in words is "twelve trillion, one hundred fifteen billion, six hundred sixty-one million, six hundred seventy-seven thousand, two hundred".