22131213301120 has 128 divisors (see below), whose sum is σ = 65962512518400. Its totient is φ = 6898040494080.

The previous prime is 22131213301081. The next prime is 22131213301123. The reversal of 22131213301120 is 2110331213122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22131213301091 and 22131213301100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22131213301123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224496310 + ... + 224594869.

It is an arithmetic number, because the mean of its divisors is an integer number (515332129050).

Almost surely, 2^{22131213301120} is an apocalyptic number.

22131213301120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131213301120 is an abundant number, since it is smaller than the sum of its proper divisors (43831299217280).

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

22131213301120 is a wasteful number, since it uses less digits than its factorization.

22131213301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449091216 (or 449091204 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 22131213301120 its reverse (2110331213122), we get a palindrome (24241544514242).

The spelling of 22131213301120 in words is "twenty-two trillion, one hundred thirty-one billion, two hundred thirteen million, three hundred one thousand, one hundred twenty".