22209932620512 has 576 divisors, whose sum is σ = 84881744156160. Its totient is φ = 5512997707776.

The previous prime is 22209932620423. The next prime is 22209932620541. The reversal of 22209932620512 is 21502623990222.

22209932620512 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 9 + 9 + 3 + 2 + 620 + 5 + 12 = 666.

It is a super-2 number, since 2×22209932620512² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16736803 + ... + 18015005.

It is an arithmetic number, because the mean of its divisors is an integer number (147364139160).

Almost surely, 2^{22209932620512} 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 22209932620512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42440872078080).

22209932620512 is an abundant number, since it is smaller than the sum of its proper divisors (62671811535648).

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

22209932620512 is a wasteful number, since it uses less digits than its factorization.

22209932620512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278272 (or 1278245 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 22209932620512 in words is "twenty-two trillion, two hundred nine billion, nine hundred thirty-two million, six hundred twenty thousand, five hundred twelve".