12002100192 has 144 divisors (see below), whose sum is σ = 34496280000. Its totient is φ = 3958121472.

The previous prime is 12002100179. The next prime is 12002100217. The reversal of 12002100192 is 29100120021.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16692409 + ... + 16693127.

It is an arithmetic number, because the mean of its divisors is an integer number (239557500).

Almost surely, 2^12002100192 is an apocalyptic number.

12002100192 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 12002100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248140000).

12002100192 is an abundant number, since it is smaller than the sum of its proper divisors (22494179808).

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

12002100192 is a wasteful number, since it uses less digits than its factorization.

12002100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1262 counting only the distinct ones).

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

The spelling of 12002100192 in words is "twelve billion, two million, one hundred thousand, one hundred ninety-two".