12001020192 has 144 divisors (see below), whose sum is σ = 39497552640. Its totient is φ = 3385414656.

The previous prime is 12001020191. The next prime is 12001020259. The reversal of 12001020192 is 29102010021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12001020191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121588 + ... + 196940.

It is an arithmetic number, because the mean of its divisors is an integer number (274288560).

Almost surely, 2^12001020192 is an apocalyptic number.

12001020192 is a gapful number since it is divisible by the number (12) 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 12001020192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19748776320).

12001020192 is an abundant number, since it is smaller than the sum of its proper divisors (27496532448).

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

12001020192 is a wasteful number, since it uses less digits than its factorization.

12001020192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75455 (or 75444 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 12001020192 in words is "twelve billion, one million, twenty thousand, one hundred ninety-two".