21111211211112 has 96 divisors (see below), whose sum is σ = 64059817891680. Its totient is φ = 6224435729280.

The previous prime is 21111211211099. The next prime is 21111211211113.

21111211211112 is a `hidden beast` number, since 21 + 111 + 211 + 211 + 112 = 666.

21111211211112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21111211211113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360181098 + ... + 360239705.

It is an arithmetic number, because the mean of its divisors is an integer number (667289769705).

Almost surely, 2^{21111211211112} is an apocalyptic number.

21111211211112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21111211211112 is an abundant number, since it is smaller than the sum of its proper divisors (42948606680568).

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

21111211211112 is a wasteful number, since it uses less digits than its factorization.

21111211211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720420863 (or 720420856 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

It can be divided in two parts, 2111121 and 1211112, that added together give a palindrome (3322233).

The spelling of 21111211211112 in words is "twenty-one trillion, one hundred eleven billion, two hundred eleven million, two hundred eleven thousand, one hundred twelve".