21134433443112 has 96 divisors (see below), whose sum is σ = 62447633820000. Its totient is φ = 6403862021760.

The previous prime is 21134433443099. The next prime is 21134433443197.

21134433443112 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 4 + 4 + 334 + 4 + 311 + 2 = 666.

21134433443112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21134433443112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8910639 + ... + 11030337.

It is an arithmetic number, because the mean of its divisors is an integer number (650496185625).

Almost surely, 2^{21134433443112} is an apocalyptic number.

21134433443112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21134433443112 is an abundant number, since it is smaller than the sum of its proper divisors (41313200376888).

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

21134433443112 is a wasteful number, since it uses less digits than its factorization.

21134433443112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132311 (or 2132304 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 2113443 and 3443112, that added together give a palindrome (5556555).

The spelling of 21134433443112 in words is "twenty-one trillion, one hundred thirty-four billion, four hundred thirty-three million, four hundred forty-three thousand, one hundred twelve".