120413022202200 has 768 divisors, whose sum is σ = 486552378654720. Its totient is φ = 23938501847040.

The previous prime is 120413022202169. The next prime is 120413022202217. The reversal of 120413022202200 is 2202220314021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83423037 + ... + 84854163.

It is an arithmetic number, because the mean of its divisors is an integer number (633531743040).

Almost surely, 2^{120413022202200} is an apocalyptic number.

120413022202200 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 120413022202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243276189327360).

120413022202200 is an abundant number, since it is smaller than the sum of its proper divisors (366139356452520).

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

120413022202200 is a wasteful number, since it uses less digits than its factorization.

120413022202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431256 (or 1431247 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 120413022202200 its reverse (2202220314021), we get a palindrome (122615242516221).

The spelling of 120413022202200 in words is "one hundred twenty trillion, four hundred thirteen billion, twenty-two million, two hundred two thousand, two hundred".