12220113011319 has 16 divisors (see below), whose sum is σ = 19056706451200. Its totient is φ = 7717966112088.

The previous prime is 12220113011237. The next prime is 12220113011371. The reversal of 12220113011319 is 91311031102221.

12220113011319 is a `hidden beast` number, since 1 + 2 + 2 + 201 + 130 + 11 + 319 = 666.

It is not a de Polignac number, because 12220113011319 - 2⁷ = 12220113011191 is a prime.

It is a super-2 number, since 2×12220113011319² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12220113011292 and 12220113011301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220113011399) 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, 11910441019 + ... + 11910442044.

It is an arithmetic number, because the mean of its divisors is an integer number (1191044153200).

Almost surely, 2^{12220113011319} is an apocalyptic number.

12220113011319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12220113011319 is a deficient number, since it is larger than the sum of its proper divisors (6836593439881).

12220113011319 is a wasteful number, since it uses less digits than its factorization.

12220113011319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23820883091 (or 23820883085 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 12220113011319 in words is "twelve trillion, two hundred twenty billion, one hundred thirteen million, eleven thousand, three hundred nineteen".