22188212129160 has 1152 divisors, whose sum is σ = 93739264819200. Its totient is φ = 4450814438400.

The previous prime is 22188212129159. The next prime is 22188212129173. The reversal of 22188212129160 is 6192121288122.

22188212129160 is a `hidden beast` number, since 2 + 2 + 188 + 2 + 121 + 291 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4149653607 + ... + 4149658953.

It is an arithmetic number, because the mean of its divisors is an integer number (81370889600).

Almost surely, 2^{22188212129160} is an apocalyptic number.

22188212129160 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 22188212129160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46869632409600).

22188212129160 is an abundant number, since it is smaller than the sum of its proper divisors (71551052690040).

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

22188212129160 is a wasteful number, since it uses less digits than its factorization.

22188212129160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 22188212129160 in words is "twenty-two trillion, one hundred eighty-eight billion, two hundred twelve million, one hundred twenty-nine thousand, one hundred sixty".