120112102000 has 160 divisors (see below), whose sum is σ = 319459428288. Its totient is φ = 43676160000.

The previous prime is 120112101973. The next prime is 120112102027. The reversal of 120112102000 is 201211021.

It is an interprime number because it is at equal distance from previous prime (120112101973) and next prime (120112102027).

It is a super-3 number, since 3×120112102000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2639440 + ... + 2684560.

Almost surely, 2^120112102000 is an apocalyptic number.

120112102000 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 120112102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159729714144).

120112102000 is an abundant number, since it is smaller than the sum of its proper divisors (199347326288).

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

120112102000 is an equidigital number, since it uses as much as digits as its factorization.

120112102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45177 (or 45139 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120112102000 its reverse (201211021), we get a palindrome (120313313021).

The spelling of 120112102000 in words is "one hundred twenty billion, one hundred twelve million, one hundred two thousand".