21012112000 has 256 divisors, whose sum is σ = 57329026560. Its totient is φ = 7595520000.

The previous prime is 21012111983. The next prime is 21012112021. The reversal of 21012112000 is 21121012.

It is a super-3 number, since 3×21012112000³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 48751785 + ... + 48752215.

It is an arithmetic number, because the mean of its divisors is an integer number (223941510).

Almost surely, 2^21012112000 is an apocalyptic number.

21012112000 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 21012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28664513280).

21012112000 is an abundant number, since it is smaller than the sum of its proper divisors (36316914560).

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

21012112000 is a wasteful number, since it uses less digits than its factorization.

21012112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21012112000 its reverse (21121012), we get a palindrome (21033233012).

The spelling of 21012112000 in words is "twenty-one billion, twelve million, one hundred twelve thousand".