22129122166200 has 576 divisors, whose sum is σ = 90125254739520. Its totient is φ = 4750202880000.

The previous prime is 22129122166199. The next prime is 22129122166267. The reversal of 22129122166200 is 266122192122.

22129122166200 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 9 + 1 + 2 + 21 + 6 + 620 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 98634150 + ... + 98858250.

It is an arithmetic number, because the mean of its divisors is an integer number (156467456145).

Almost surely, 2^{22129122166200} is an apocalyptic number.

22129122166200 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 22129122166200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45062627369760).

22129122166200 is an abundant number, since it is smaller than the sum of its proper divisors (67996132573320).

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

22129122166200 is a wasteful number, since it uses less digits than its factorization.

22129122166200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224608 (or 224596 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 22129122166200 in words is "twenty-two trillion, one hundred twenty-nine billion, one hundred twenty-two million, one hundred sixty-six thousand, two hundred".