120112101121200 has 240 divisors, whose sum is σ = 392998987407360. Its totient is φ = 31344136335360.

The previous prime is 120112101121157. The next prime is 120112101121217. The reversal of 120112101121200 is 2121101211021.

It is a happy number.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120112101121200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424945521 + ... + 425228079.

It is an arithmetic number, because the mean of its divisors is an integer number (1637495780864).

Almost surely, 2^{120112101121200} is an apocalyptic number.

120112101121200 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 120112101121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196499493703680).

120112101121200 is an abundant number, since it is smaller than the sum of its proper divisors (272886886286160).

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

120112101121200 is a wasteful number, since it uses less digits than its factorization.

120112101121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290164 (or 290153 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120112101121200 its reverse (2121101211021), we get a palindrome (122233202332221).

The spelling of 120112101121200 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred one million, one hundred twenty-one thousand, two hundred".