22324122240129 has 56 divisors (see below), whose sum is σ = 33507395359200. Its totient is φ = 14866518835008.

The previous prime is 22324122240107. The next prime is 22324122240149. The reversal of 22324122240129 is 92104222142322.

22324122240129 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 4 + 1 + 222 + 401 + 29 = 666.

It is not a de Polignac number, because 22324122240129 - 2¹¹ = 22324122238081 is a prime.

It is a super-3 number, since 3×22324122240129³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22324122240093 and 22324122240102.

It is not an unprimeable number, because it can be changed into a prime (22324122240149) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3269972014 + ... + 3269978840.

It is an arithmetic number, because the mean of its divisors is an integer number (598346345700).

Almost surely, 2^{22324122240129} is an apocalyptic number.

It is an amenable number.

22324122240129 is a deficient number, since it is larger than the sum of its proper divisors (11183273119071).

22324122240129 is an equidigital number, since it uses as much as digits as its factorization.

22324122240129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11081 (or 11066 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22324122240129 in words is "twenty-two trillion, three hundred twenty-four billion, one hundred twenty-two million, two hundred forty thousand, one hundred twenty-nine".