199926012132000 has 3840 divisors, whose sum is σ = 932826313875456. Its totient is φ = 41075755776000.

The previous prime is 199926012131939. The next prime is 199926012132023. The reversal of 199926012132000 is 231210629991.

199926012132000 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 2 + 601 + 2 + 1 + 32 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×199926012132000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 310926923679 + ... + 310926924321.

Almost surely, 2^{199926012132000} is an apocalyptic number.

199926012132000 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 199926012132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466413156937728).

199926012132000 is an abundant number, since it is smaller than the sum of its proper divisors (732900301743456).

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

199926012132000 is a wasteful number, since it uses less digits than its factorization.

199926012132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 199926012132000 in words is "one hundred ninety-nine trillion, nine hundred twenty-six billion, twelve million, one hundred thirty-two thousand".