22121237946672 has 160 divisors (see below), whose sum is σ = 65215985909760. Its totient is φ = 7174045428480.

The previous prime is 22121237946571. The next prime is 22121237946701. The reversal of 22121237946672 is 27664973212122.

22121237946672 is a `hidden beast` number, since 2 + 2 + 1 + 21 + 23 + 79 + 466 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 417331723 + ... + 417384725.

It is an arithmetic number, because the mean of its divisors is an integer number (407599911936).

Almost surely, 2^{22121237946672} 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 22121237946672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32607992954880).

22121237946672 is an abundant number, since it is smaller than the sum of its proper divisors (43094747963088).

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

22121237946672 is a wasteful number, since it uses less digits than its factorization.

22121237946672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79168 (or 79156 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 22121237946672 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred thirty-seven million, nine hundred forty-six thousand, six hundred seventy-two".