120112001212200 has 96 divisors (see below), whose sum is σ = 378451256393760. Its totient is φ = 31504787193600.

The previous prime is 120112001212199. The next prime is 120112001212207. The reversal of 120112001212200 is 2212100211021.

120112001212200 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 120112001212200.

It is not an unprimeable number, because it can be changed into a prime (120112001212207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640837734 + ... + 1640910933.

It is an arithmetic number, because the mean of its divisors is an integer number (3942200587435).

Almost surely, 2^{120112001212200} is an apocalyptic number.

120112001212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112001212200 is an abundant number, since it is smaller than the sum of its proper divisors (258339255181560).

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

120112001212200 is a wasteful number, since it uses less digits than its factorization.

120112001212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281748747 (or 3281748738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120112001212200 its reverse (2212100211021), we get a palindrome (122324101423221).

The spelling of 120112001212200 in words is "one hundred twenty trillion, one hundred twelve billion, one million, two hundred twelve thousand, two hundred".