21013412112 has 240 divisors, whose sum is σ = 73470059520. Its totient is φ = 5446828800.

The previous prime is 21013412111. The next prime is 21013412137. The reversal of 21013412112 is 21121431012.

21013412112 is a `hidden beast` number, since 210 + 1 + 341 + 2 + 112 = 666.

It is a super-3 number, since 3×21013412112³ (a number of 32 digits) contains 333 as substring.

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 (21013412111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6329589 + ... + 6332907.

It is an arithmetic number, because the mean of its divisors is an integer number (306125248).

Almost surely, 2^21013412112 is an apocalyptic number.

21013412112 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 21013412112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36735029760).

21013412112 is an abundant number, since it is smaller than the sum of its proper divisors (52456647408).

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

21013412112 is a wasteful number, since it uses less digits than its factorization.

21013412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21013412112 its reverse (21121431012), we get a palindrome (42134843124).

The spelling of 21013412112 in words is "twenty-one billion, thirteen million, four hundred twelve thousand, one hundred twelve".