199122865920 has 864 divisors, whose sum is σ = 822667648320. Its totient is φ = 45416448000.

The previous prime is 199122865919. The next prime is 199122865927. The reversal of 199122865920 is 29568221991.

199122865920 is a `hidden beast` number, since 19 + 9 + 12 + 28 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199122865927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71088520 + ... + 71091320.

It is an arithmetic number, because the mean of its divisors is an integer number (952161630).

Almost surely, 2^199122865920 is an apocalyptic number.

199122865920 is a gapful number since it is divisible by the number (10) 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 199122865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411333824160).

199122865920 is an abundant number, since it is smaller than the sum of its proper divisors (623544782400).

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

199122865920 is a wasteful number, since it uses less digits than its factorization.

199122865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 199122865920 in words is "one hundred ninety-nine billion, one hundred twenty-two million, eight hundred sixty-five thousand, nine hundred twenty".