21001233210012 has 72 divisors (see below), whose sum is σ = 57926113081200. Its totient is φ = 6362513195520.

The previous prime is 21001233210011. The next prime is 21001233210019.

21001233210012 is a `hidden beast` number, since 210 + 0 + 1 + 233 + 210 + 0 + 12 = 666.

21001233210012 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001233210011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4550637 + ... + 7919012.

It is an arithmetic number, because the mean of its divisors is an integer number (804529348350).

Almost surely, 2^{21001233210012} is an apocalyptic number.

21001233210012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21001233210012 is an abundant number, since it is smaller than the sum of its proper divisors (36924879871188).

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

21001233210012 is a wasteful number, since it uses less digits than its factorization.

21001233210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12473923 (or 12473918 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, 2100123 and 3210012, that added together give a palindrome (5310135).

The spelling of 21001233210012 in words is "twenty-one trillion, one billion, two hundred thirty-three million, two hundred ten thousand, twelve".