112779977211 has 32 divisors (see below), whose sum is σ = 188150384640. Its totient is φ = 66146608800.

The previous prime is 112779977207. The next prime is 112779977227.

112779977211 is a `hidden beast` number, since 1 + 1 + 277 + 99 + 77 + 211 = 666.

112779977211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112779977211 - 2² = 112779977207 is a prime.

It is a super-3 number, since 3×112779977211³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (112779977711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6115480 + ... + 6133893.

It is an arithmetic number, because the mean of its divisors is an integer number (5879699520).

Almost surely, 2^112779977211 is an apocalyptic number.

112779977211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112779977211 is a deficient number, since it is larger than the sum of its proper divisors (75370407429).

112779977211 is a wasteful number, since it uses less digits than its factorization.

112779977211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12249424 (or 12249418 counting only the distinct ones).

The product of its digits is 777924, while the sum is 54.

The spelling of 112779977211 in words is "one hundred twelve billion, seven hundred seventy-nine million, nine hundred seventy-seven thousand, two hundred eleven".