21111312000 has 256 divisors, whose sum is σ = 71881505280. Its totient is φ = 5477068800.

The previous prime is 21111311999. The next prime is 21111312043. The reversal of 21111312000 is 21311112.

It is a super-2 number, since 2×21111312000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1770057 + ... + 1781943.

It is an arithmetic number, because the mean of its divisors is an integer number (280787130).

Almost surely, 2^21111312000 is an apocalyptic number.

21111312000 is a gapful number since it is divisible by the number (20) 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 21111312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35940752640).

21111312000 is an abundant number, since it is smaller than the sum of its proper divisors (50770193280).

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

21111312000 is a wasteful number, since it uses less digits than its factorization.

21111312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11956 (or 11934 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 21111312000 its reverse (21311112), we get a palindrome (21132623112).

The spelling of 21111312000 in words is "twenty-one billion, one hundred eleven million, three hundred twelve thousand".