22125707076000 has 384 divisors, whose sum is σ = 79158086542080. Its totient is φ = 5358053376000.

The previous prime is 22125707075971. The next prime is 22125707076019. The reversal of 22125707076000 is 67070752122.

It is a super-2 number, since 2×22125707076000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22125707076000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123594556 + ... + 123773444.

It is an arithmetic number, because the mean of its divisors is an integer number (206140850370).

Almost surely, 2^{22125707076000} is an apocalyptic number.

22125707076000 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 22125707076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39579043271040).

22125707076000 is an abundant number, since it is smaller than the sum of its proper divisors (57032379466080).

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

22125707076000 is a wasteful number, since it uses less digits than its factorization.

22125707076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179865 (or 179847 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The spelling of 22125707076000 in words is "twenty-two trillion, one hundred twenty-five billion, seven hundred seven million, seventy-six thousand".