22124620618000 has 40 divisors (see below), whose sum is σ = 53497332659160. Its totient is φ = 8849848246400.

The previous prime is 22124620617989. The next prime is 22124620618007. The reversal of 22124620618000 is 81602642122.

It can be written as a sum of positive squares in 4 ways, for example, as 16869853456 + 22107750764544 = 129884^2 + 4701888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (22124620618007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5531153155 + ... + 5531157154.

It is an arithmetic number, because the mean of its divisors is an integer number (1337433316479).

Almost surely, 2^{22124620618000} is an apocalyptic number.

22124620618000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22124620618000 is an abundant number, since it is smaller than the sum of its proper divisors (31372712041160).

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

22124620618000 is a wasteful number, since it uses less digits than its factorization.

22124620618000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11062310332 (or 11062310316 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 22124620618000 in words is "twenty-two trillion, one hundred twenty-four billion, six hundred twenty million, six hundred eighteen thousand".