22124249280 has 280 divisors, whose sum is σ = 89943419808. Its totient is φ = 5056929792.

The previous prime is 22124249243. The next prime is 22124249339. The reversal of 22124249280 is 8294242122.

22124249280 is a `hidden beast` number, since 221 + 2 + 424 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 120472 + ... + 242408.

Almost surely, 2^22124249280 is an apocalyptic number.

22124249280 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 22124249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44971709904).

22124249280 is an abundant number, since it is smaller than the sum of its proper divisors (67819170528).

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

22124249280 is a wasteful number, since it uses less digits than its factorization.

22124249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121973 (or 121954 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22124249280 in words is "twenty-two billion, one hundred twenty-four million, two hundred forty-nine thousand, two hundred eighty".