22127231280 has 960 divisors, whose sum is σ = 96323834880. Its totient is φ = 4087480320.

The previous prime is 22127231279. The next prime is 22127231281. The reversal of 22127231280 is 8213272122.

It is an interprime number because it is at equal distance from previous prime (22127231279) and next prime (22127231281).

It is a super-2 number, since 2×22127231280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22127231281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65659272 + ... + 65659608.

It is an arithmetic number, because the mean of its divisors is an integer number (100337328).

Almost surely, 2^22127231280 is an apocalyptic number.

22127231280 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 22127231280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48161917440).

22127231280 is an abundant number, since it is smaller than the sum of its proper divisors (74196603600).

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

22127231280 is a wasteful number, since it uses less digits than its factorization.

22127231280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 22127231280 in words is "twenty-two billion, one hundred twenty-seven million, two hundred thirty-one thousand, two hundred eighty".