22672770120 has 768 divisors, whose sum is σ = 104783777280. Its totient is φ = 4091904000.

The previous prime is 22672770119. The next prime is 22672770121. The reversal of 22672770120 is 2107727622.

22672770120 is a `hidden beast` number, since 2 + 267 + 277 + 0 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (22672770119) and next prime (22672770121).

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

It is not an unprimeable number, because it can be changed into a prime (22672770121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6124270 + ... + 6127970.

It is an arithmetic number, because the mean of its divisors is an integer number (136437210).

Almost surely, 2^22672770120 is an apocalyptic number.

22672770120 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 22672770120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52391888640).

22672770120 is an abundant number, since it is smaller than the sum of its proper divisors (82111007160).

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

22672770120 is a wasteful number, since it uses less digits than its factorization.

22672770120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 22672770120 in words is "twenty-two billion, six hundred seventy-two million, seven hundred seventy thousand, one hundred twenty".