120100212022200 has 192 divisors, whose sum is σ = 372917840837760. Its totient is φ = 31974507102720.

The previous prime is 120100212022163. The next prime is 120100212022207. The reversal of 120100212022200 is 2220212001021.

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 120100212022200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100212022207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3202055847 + ... + 3202093353.

It is an arithmetic number, because the mean of its divisors is an integer number (1942280421030).

Almost surely, 2^{120100212022200} is an apocalyptic number.

120100212022200 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 120100212022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186458920418880).

120100212022200 is an abundant number, since it is smaller than the sum of its proper divisors (252817628815560).

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

120100212022200 is a wasteful number, since it uses less digits than its factorization.

120100212022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46086 (or 46077 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120100212022200 its reverse (2220212001021), we get a palindrome (122320424023221).

The spelling of 120100212022200 in words is "one hundred twenty trillion, one hundred billion, two hundred twelve million, twenty-two thousand, two hundred".