22132301414320 has 80 divisors (see below), whose sum is σ = 51852421063008. Its totient is φ = 8785042421760.

The previous prime is 22132301414291. The next prime is 22132301414323. The reversal of 22132301414320 is 2341410323122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22132301414320² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22132301414323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29295730 + ... + 30041710.

Almost surely, 2^{22132301414320} is an apocalyptic number.

22132301414320 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 22132301414320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25926210531504).

22132301414320 is an abundant number, since it is smaller than the sum of its proper divisors (29720119648688).

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

22132301414320 is a wasteful number, since it uses less digits than its factorization.

22132301414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748838 (or 748832 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 22132301414320 its reverse (2341410323122), we get a palindrome (24473711737442).

The spelling of 22132301414320 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred one million, four hundred fourteen thousand, three hundred twenty".