199050981120 has 432 divisors, whose sum is σ = 719969402880. Its totient is φ = 52651855872.

The previous prime is 199050981089. The next prime is 199050981127. The reversal of 199050981120 is 21189050991.

199050981120 is a `hidden beast` number, since 19 + 9 + 0 + 509 + 8 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199050981127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39499561 + ... + 39504599.

It is an arithmetic number, because the mean of its divisors is an integer number (1666595840).

Almost surely, 2^199050981120 is an apocalyptic number.

199050981120 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 199050981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359984701440).

199050981120 is an abundant number, since it is smaller than the sum of its proper divisors (520918421760).

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

199050981120 is an equidigital number, since it uses as much as digits as its factorization.

199050981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 199050981120 in words is "one hundred ninety-nine billion, fifty million, nine hundred eighty-one thousand, one hundred twenty".