199259917742112 has 96 divisors (see below), whose sum is σ = 527010025356864. Its totient is φ = 65919920640000.

The previous prime is 199259917742107. The next prime is 199259917742153. The reversal of 199259917742112 is 211247719952991.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7943293 + ... + 21485244.

It is an arithmetic number, because the mean of its divisors is an integer number (5489687764134).

Almost surely, 2^{199259917742112} is an apocalyptic number.

199259917742112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199259917742112 is an abundant number, since it is smaller than the sum of its proper divisors (327750107614752).

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

199259917742112 is a wasteful number, since it uses less digits than its factorization.

199259917742112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29429082 (or 29429074 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 69.

The spelling of 199259917742112 in words is "one hundred ninety-nine trillion, two hundred fifty-nine billion, nine hundred seventeen million, seven hundred forty-two thousand, one hundred twelve".