22345303122000 has 120 divisors (see below), whose sum is σ = 78044695433640. Its totient is φ = 5958747494400.

The previous prime is 22345303121959. The next prime is 22345303122047. The reversal of 22345303122000 is 22130354322.

22345303122000 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 530 + 3 + 122 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1206421050384 + 21138882071616 = 1098372^2 + 4597704^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×22345303122000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620684865 + ... + 620720864.

It is an arithmetic number, because the mean of its divisors is an integer number (650372461947).

Almost surely, 2^{22345303122000} is an apocalyptic number.

22345303122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22345303122000 is an abundant number, since it is smaller than the sum of its proper divisors (55699392311640).

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

22345303122000 is a wasteful number, since it uses less digits than its factorization.

22345303122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241405758 (or 1241405739 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 22345303122000 its reverse (22130354322), we get a palindrome (22367433476322).

The spelling of 22345303122000 in words is "twenty-two trillion, three hundred forty-five billion, three hundred three million, one hundred twenty-two thousand".