12211083117360 has 200 divisors, whose sum is σ = 43008238966176. Its totient is φ = 3210425487360.

The previous prime is 12211083117353. The next prime is 12211083117383. The reversal of 12211083117360 is 6371138011221.

12211083117360 is a `hidden beast` number, since 1 + 2 + 211 + 0 + 8 + 311 + 73 + 60 = 666.

It is a super-2 number, since 2×12211083117360² (a number of 27 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 12810529 + ... + 13730688.

Almost surely, 2^{12211083117360} is an apocalyptic number.

12211083117360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211083117360 is an abundant number, since it is smaller than the sum of its proper divisors (30797155848816).

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

12211083117360 is a wasteful number, since it uses less digits than its factorization.

12211083117360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26541313 (or 26541298 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12211083117360 in words is "twelve trillion, two hundred eleven billion, eighty-three million, one hundred seventeen thousand, three hundred sixty".