22120086384000 has 1536 divisors, whose sum is σ = 92006901043200. Its totient is φ = 5033336832000.

The previous prime is 22120086383981. The next prime is 22120086384059. The reversal of 22120086384000 is 48368002122.

22120086384000 is a `hidden beast` number, since 2 + 2 + 12 + 0 + 0 + 8 + 638 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 12575375121 + ... + 12575376879.

It is an arithmetic number, because the mean of its divisors is an integer number (59900326200).

Almost surely, 2^{22120086384000} is an apocalyptic number.

22120086384000 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 22120086384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46003450521600).

22120086384000 is an abundant number, since it is smaller than the sum of its proper divisors (69886814659200).

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

22120086384000 is a wasteful number, since it uses less digits than its factorization.

22120086384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22120086384000 in words is "twenty-two trillion, one hundred twenty billion, eighty-six million, three hundred eighty-four thousand".