120002112000 has 240 divisors, whose sum is σ = 432227181672. Its totient is φ = 32000409600.

The previous prime is 120002111987. The next prime is 120002112011. The reversal of 120002112000 is 211200021.

It can be written as a sum of positive squares in 4 ways, for example, as 36698298624 + 83303813376 = 191568^2 + 288624^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 471832 + ... + 680168.

Almost surely, 2^120002112000 is an apocalyptic number.

120002112000 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 120002112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216113590836).

120002112000 is an abundant number, since it is smaller than the sum of its proper divisors (312225069672).

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

120002112000 is an equidigital number, since it uses as much as digits as its factorization.

120002112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208376 (or 208347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120002112000 its reverse (211200021), we get a palindrome (120213312021).

The spelling of 120002112000 in words is "one hundred twenty billion, two million, one hundred twelve thousand".