120210112000 has 720 divisors, whose sum is σ = 355819319856. Its totient is φ = 40449024000.

The previous prime is 120210111997. The next prime is 120210112021. The reversal of 120210112000 is 211012021.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2795583979 + ... + 2795584021.

Almost surely, 2^120210112000 is an apocalyptic number.

120210112000 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 120210112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177909659928).

120210112000 is an abundant number, since it is smaller than the sum of its proper divisors (235609207856).

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

120210112000 is an equidigital number, since it uses as much as digits as its factorization.

120210112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 80 counting only the distinct ones).

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

Adding to 120210112000 its reverse (211012021), we get a palindrome (120421124021).

The spelling of 120210112000 in words is "one hundred twenty billion, two hundred ten million, one hundred twelve thousand".