22149129120 has 96 divisors (see below), whose sum is σ = 70069551552. Its totient is φ = 5881055232.

The previous prime is 22149129113. The next prime is 22149129131. The reversal of 22149129120 is 2192194122.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12819 + ... + 210861.

It is an arithmetic number, because the mean of its divisors is an integer number (729891162).

Almost surely, 2^22149129120 is an apocalyptic number.

22149129120 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 22149129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35034775776).

22149129120 is an abundant number, since it is smaller than the sum of its proper divisors (47920422432).

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

22149129120 is a wasteful number, since it uses less digits than its factorization.

22149129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198294 (or 198286 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 22149129120 in words is "twenty-two billion, one hundred forty-nine million, one hundred twenty-nine thousand, one hundred twenty".