21012213440192 has 112 divisors (see below), whose sum is σ = 45322161458112. Its totient is φ = 9607870771200.

The previous prime is 21012213440173. The next prime is 21012213440249. The reversal of 21012213440192 is 29104431221012.

It is a super-2 number, since 2×21012213440192² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46636538 + ... + 47084934.

It is an arithmetic number, because the mean of its divisors is an integer number (404662155876).

Almost surely, 2^{21012213440192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012213440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22661080729056).

21012213440192 is an abundant number, since it is smaller than the sum of its proper divisors (24309948017920).

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

21012213440192 is a wasteful number, since it uses less digits than its factorization.

21012213440192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448946 (or 448936 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 21012213440192 in words is "twenty-one trillion, twelve billion, two hundred thirteen million, four hundred forty thousand, one hundred ninety-two".