21132211223112 has 64 divisors (see below), whose sum is σ = 59620658644800. Its totient is φ = 6182883114240.

The previous prime is 21132211223063. The next prime is 21132211223113.

21132211223112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (21132211223113) 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, 1380100183 + ... + 1380115494.

It is an arithmetic number, because the mean of its divisors is an integer number (931572791325).

Almost surely, 2^{21132211223112} is an apocalyptic number.

21132211223112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21132211223112 is an abundant number, since it is smaller than the sum of its proper divisors (38488447421688).

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

21132211223112 is a wasteful number, since it uses less digits than its factorization.

21132211223112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760215726 (or 2760215722 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 2113221 and 1223112, that added together give a palindrome (3336333).

The spelling of 21132211223112 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred eleven million, two hundred twenty-three thousand, one hundred twelve".