22180701312 has 512 divisors, whose sum is σ = 86435942400. Its totient is φ = 5421219840.

The previous prime is 22180701299. The next prime is 22180701317. The reversal of 22180701312 is 21310708122.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22180701317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4521453 + ... + 4526355.

It is an arithmetic number, because the mean of its divisors is an integer number (168820200).

Almost surely, 2^22180701312 is an apocalyptic number.

22180701312 is a gapful number since it is divisible by the number (22) 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 22180701312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43217971200).

22180701312 is an abundant number, since it is smaller than the sum of its proper divisors (64255241088).

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

22180701312 is a wasteful number, since it uses less digits than its factorization.

22180701312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 22180701312 in words is "twenty-two billion, one hundred eighty million, seven hundred one thousand, three hundred twelve".