21123032112 has 480 divisors, whose sum is σ = 75503500800. Its totient is φ = 5476584960.

The previous prime is 21123032111. The next prime is 21123032143.

21123032112 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (21123032111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43020187 + ... + 43020677.

It is an arithmetic number, because the mean of its divisors is an integer number (157298960).

Almost surely, 2^21123032112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21123032112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37751750400).

21123032112 is an abundant number, since it is smaller than the sum of its proper divisors (54380468688).

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

21123032112 is a wasteful number, since it uses less digits than its factorization.

21123032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 211230 and 32112, that added together give a palindrome (243342).

The spelling of 21123032112 in words is "twenty-one billion, one hundred twenty-three million, thirty-two thousand, one hundred twelve".