22070805120 has 1152 divisors, whose sum is σ = 97839705600. Its totient is φ = 4485611520.

The previous prime is 22070805017. The next prime is 22070805131. The reversal of 22070805120 is 2150807022.

22070805120 is a `hidden beast` number, since 2 + 2 + 0 + 70 + 80 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×22070805120³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 279377241 + ... + 279377319.

It is an arithmetic number, because the mean of its divisors is an integer number (84930300).

Almost surely, 2^22070805120 is an apocalyptic number.

22070805120 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 22070805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48919852800).

22070805120 is an abundant number, since it is smaller than the sum of its proper divisors (75768900480).

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

22070805120 is a wasteful number, since it uses less digits than its factorization.

22070805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 22070805120 in words is "twenty-two billion, seventy million, eight hundred five thousand, one hundred twenty".