22299129861120 has 1320 divisors, whose sum is σ = 94482673112520. Its totient is φ = 5013108817920.

The previous prime is 22299129861101. The next prime is 22299129861139. The reversal of 22299129861120 is 2116892199222.

22299129861120 is a `hidden beast` number, since 2 + 2 + 2 + 9 + 9 + 12 + 9 + 8 + 611 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22299129861101) and next prime (22299129861139).

It can be written as a sum of positive squares in 4 ways, for example, as 593072492544 + 21706057368576 = 770112^2 + 4658976^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1239589086 + ... + 1239607074.

It is an arithmetic number, because the mean of its divisors is an integer number (71577782661).

Almost surely, 2^{22299129861120} is an apocalyptic number.

22299129861120 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 22299129861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47241336556260).

22299129861120 is an abundant number, since it is smaller than the sum of its proper divisors (72183543251400).

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

22299129861120 is a wasteful number, since it uses less digits than its factorization.

22299129861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18101 (or 18067 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 22299129861120 in words is "twenty-two trillion, two hundred ninety-nine billion, one hundred twenty-nine million, eight hundred sixty-one thousand, one hundred twenty".