16922131200 has 972 divisors, whose sum is σ = 69839293888. Its totient is φ = 4031078400.

The previous prime is 16922131199. The next prime is 16922131229. The reversal of 16922131200 is 213122961.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 545875185 + ... + 545875215.

Almost surely, 2^16922131200 is an apocalyptic number.

16922131200 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 16922131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34919646944).

16922131200 is an abundant number, since it is smaller than the sum of its proper divisors (52917162688).

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

16922131200 is an frugal number, since it uses more digits than its factorization.

16922131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 16922131200 in words is "sixteen billion, nine hundred twenty-two million, one hundred thirty-one thousand, two hundred".