22120089223680 has 3600 divisors, whose sum is σ = 101476455734016. Its totient is φ = 4605103964160.

The previous prime is 22120089223651. The next prime is 22120089223769. The reversal of 22120089223680 is 8632298002122.

22120089223680 is a `hidden beast` number, since 2 + 2 + 1 + 200 + 89 + 2 + 2 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 713551265265 + ... + 713551265295.

Almost surely, 2^{22120089223680} is an apocalyptic number.

22120089223680 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 22120089223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50738227867008).

22120089223680 is an abundant number, since it is smaller than the sum of its proper divisors (79356366510336).

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

22120089223680 is an frugal number, since it uses more digits than its factorization.

22120089223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 22120089223680 in words is "twenty-two trillion, one hundred twenty billion, eighty-nine million, two hundred twenty-three thousand, six hundred eighty".