22013181120 has 448 divisors, whose sum is σ = 85693178880. Its totient is φ = 4675387392.

The previous prime is 22013181107. The next prime is 22013181121. The reversal of 22013181120 is 2118131022.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (22013181121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6765414 + ... + 6768666.

Almost surely, 2^22013181120 is an apocalyptic number.

22013181120 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 22013181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42846589440).

22013181120 is an abundant number, since it is smaller than the sum of its proper divisors (63679997760).

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

22013181120 is a wasteful number, since it uses less digits than its factorization.

22013181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 22013181120 in words is "twenty-two billion, thirteen million, one hundred eighty-one thousand, one hundred twenty".