120121212112200 has 288 divisors, whose sum is σ = 434455963741800. Its totient is φ = 29567101870080.

The previous prime is 120121212112183. The next prime is 120121212112219. The reversal of 120121212112200 is 2211212121021.

120121212112200 is a `hidden beast` number, since 1 + 20 + 1 + 212 + 1 + 211 + 220 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 385663356324 + 119735548755876 = 621018^2 + 10942374^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 670765072 + ... + 670944128.

Almost surely, 2^{120121212112200} is an apocalyptic number.

120121212112200 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 120121212112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217227981870900).

120121212112200 is an abundant number, since it is smaller than the sum of its proper divisors (314334751629600).

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

120121212112200 is a wasteful number, since it uses less digits than its factorization.

120121212112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207761 (or 207749 counting only the distinct ones).

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

Adding to 120121212112200 its reverse (2211212121021), we get a palindrome (122332424233221).

The spelling of 120121212112200 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred twelve million, one hundred twelve thousand, two hundred".