120112212121200 has 1080 divisors, whose sum is σ = 474239982604752. Its totient is φ = 27981311016960.

The previous prime is 120112212121117. The next prime is 120112212121229. The reversal of 120112212121200 is 2121212211021.

120112212121200 is a `hidden beast` number, since 1 + 20 + 11 + 221 + 212 + 1 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19648649344 + ... + 19648655456.

Almost surely, 2^{120112212121200} is an apocalyptic number.

120112212121200 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 120112212121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237119991302376).

120112212121200 is an abundant number, since it is smaller than the sum of its proper divisors (354127770483552).

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

120112212121200 is a wasteful number, since it uses less digits than its factorization.

120112212121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7351 (or 7318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120112212121200 its reverse (2121212211021), we get a palindrome (122233424332221).

The spelling of 120112212121200 in words is "one hundred twenty trillion, one hundred twelve billion, two hundred twelve million, one hundred twenty-one thousand, two hundred".