120121211122200 has 288 divisors, whose sum is σ = 403972950326400. Its totient is φ = 31987408250880.

The previous prime is 120121211122177. The next prime is 120121211122217. The reversal of 120121211122200 is 2221112121021.

120121211122200 is a `hidden beast` number, since 1 + 201 + 21 + 211 + 12 + 220 + 0 = 666.

It is a super-2 number, since 2×120121211122200² (a number of 29 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 9377869396 + ... + 9377882204.

It is an arithmetic number, because the mean of its divisors is an integer number (1402683855300).

Almost surely, 2^{120121211122200} is an apocalyptic number.

120121211122200 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 120121211122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201986475163200).

120121211122200 is an abundant number, since it is smaller than the sum of its proper divisors (283851739204200).

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

120121211122200 is a wasteful number, since it uses less digits than its factorization.

120121211122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19731 (or 19719 counting only the distinct ones).

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

Adding to 120121211122200 its reverse (2221112121021), we get a palindrome (122342323243221).

The spelling of 120121211122200 in words is "one hundred twenty trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty-two thousand, two hundred".