21013233122112 has 672 divisors, whose sum is σ = 71383257792000. Its totient is φ = 5394208296960.

The previous prime is 21013233122071. The next prime is 21013233122221. The reversal of 21013233122112 is 21122133231012.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×21013233122112² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3294123339 + ... + 3294129717.

It is an arithmetic number, because the mean of its divisors is an integer number (106225086000).

Almost surely, 2^{21013233122112} is an apocalyptic number.

21013233122112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21013233122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35691628896000).

21013233122112 is an abundant number, since it is smaller than the sum of its proper divisors (50370024669888).

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

21013233122112 is a wasteful number, since it uses less digits than its factorization.

21013233122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 21013233122112 its reverse (21122133231012), we get a palindrome (42135366353124).

The spelling of 21013233122112 in words is "twenty-one trillion, thirteen billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred twelve".