12001002090 has 192 divisors, whose sum is σ = 37330771968. Its totient is φ = 2440502400.

The previous prime is 12001002089. The next prime is 12001002107. The reversal of 12001002090 is 9020010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 752095 + ... + 767885.

It is an arithmetic number, because the mean of its divisors is an integer number (194431104).

Almost surely, 2^12001002090 is an apocalyptic number.

12001002090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001002090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665385984).

12001002090 is an abundant number, since it is smaller than the sum of its proper divisors (25329769878).

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

12001002090 is a wasteful number, since it uses less digits than its factorization.

12001002090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15873 (or 15866 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 12001002090 in words is "twelve billion, one million, two thousand, ninety".