112677776211 has 384 divisors, whose sum is σ = 229542082560. Its totient is φ = 47772426240.

The previous prime is 112677776173. The next prime is 112677776221.

It is a happy number.

112677776211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 112677776211 - 2⁹ = 112677775699 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112677776221) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3045345285 + ... + 3045345321.

It is an arithmetic number, because the mean of its divisors is an integer number (597765840).

Almost surely, 2^112677776211 is an apocalyptic number.

112677776211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

112677776211 is an abundant number, since it is smaller than the sum of its proper divisors (116864306349).

112677776211 is a wasteful number, since it uses less digits than its factorization.

112677776211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 117 counting only the distinct ones).

The product of its digits is 345744, while the sum is 48.

It can be divided in two parts, 112677 and 776211, that added together give a palindrome (888888).

The spelling of 112677776211 in words is "one hundred twelve billion, six hundred seventy-seven million, seven hundred seventy-six thousand, two hundred eleven".