22215047121600 has 1344 divisors, whose sum is σ = 80795403763200. Its totient is φ = 5323898880000.

The previous prime is 22215047121593. The next prime is 22215047121611. The reversal of 22215047121600 is 612174051222.

It is a super-2 number, since 2×22215047121600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22281892302 + ... + 22281893298.

It is an arithmetic number, because the mean of its divisors is an integer number (60115627800).

Almost surely, 2^{22215047121600} is an apocalyptic number.

22215047121600 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 22215047121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40397701881600).

22215047121600 is an abundant number, since it is smaller than the sum of its proper divisors (58580356641600).

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

22215047121600 is a wasteful number, since it uses less digits than its factorization.

22215047121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 22215047121600 in words is "twenty-two trillion, two hundred fifteen billion, forty-seven million, one hundred twenty-one thousand, six hundred".