122199840000 has 1080 divisors, whose sum is σ = 522968846400. Its totient is φ = 27869184000.

The previous prime is 122199839987. The next prime is 122199840017. The reversal of 122199840000 is 48991221.

It is a tau number, because it is divible by the number of its divisors (1080).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 272159776 + ... + 272160224.

Almost surely, 2^122199840000 is an apocalyptic number.

122199840000 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 122199840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261484423200).

122199840000 is an abundant number, since it is smaller than the sum of its proper divisors (400769006400).

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

122199840000 is an frugal number, since it uses more digits than its factorization.

122199840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 122199840000 in words is "one hundred twenty-two billion, one hundred ninety-nine million, eight hundred forty thousand".