22129098068700 has 432 divisors, whose sum is σ = 85647333844800. Its totient is φ = 4760544337920.

The previous prime is 22129098068663. The next prime is 22129098068729. The reversal of 22129098068700 is 786089092122.

22129098068700 is a `hidden beast` number, since 221 + 290 + 9 + 8 + 0 + 68 + 70 + 0 = 666.

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, 3139524 + ... + 7356276.

Almost surely, 2^{22129098068700} is an apocalyptic number.

22129098068700 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 22129098068700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42823666922400).

22129098068700 is an abundant number, since it is smaller than the sum of its proper divisors (63518235776100).

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

22129098068700 is a wasteful number, since it uses less digits than its factorization.

22129098068700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216811 (or 4216787 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 22129098068700 in words is "twenty-two trillion, one hundred twenty-nine billion, ninety-eight million, sixty-eight thousand, seven hundred".