120112210112000 has 160 divisors (see below), whose sum is σ = 299594194922880. Its totient is φ = 48030945484800.

The previous prime is 120112210111967. The next prime is 120112210112047. The reversal of 120112210112000 is 211012211021.

120112210112000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221745497 + ... + 222286503.

It is an arithmetic number, because the mean of its divisors is an integer number (1872463718268).

Almost surely, 2^{120112210112000} is an apocalyptic number.

120112210112000 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 120112210112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149797097461440).

120112210112000 is an abundant number, since it is smaller than the sum of its proper divisors (179481984810880).

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

120112210112000 is an frugal number, since it uses more digits than its factorization.

120112210112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544509 (or 544483 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120112210112000 its reverse (211012211021), we get a palindrome (120323222323021).

The spelling of 120112210112000 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred ten million, one hundred twelve thousand".