120122122210200 has 1152 divisors, whose sum is σ = 455573855692800. Its totient is φ = 28116748800000.

The previous prime is 120122122210199. The next prime is 120122122210219. The reversal of 120122122210200 is 2012221221021.

It is a happy number.

120122122210200 is a `hidden beast` number, since 1 + 20 + 1 + 221 + 2 + 221 + 0 + 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 287 ways as a sum of consecutive naturals, for example, 20495155270 + ... + 20495161130.

It is an arithmetic number, because the mean of its divisors is an integer number (395463416400).

Almost surely, 2^{120122122210200} is an apocalyptic number.

120122122210200 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 120122122210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227786927846400).

120122122210200 is an abundant number, since it is smaller than the sum of its proper divisors (335451733482600).

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

120122122210200 is a wasteful number, since it uses less digits than its factorization.

120122122210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6265 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120122122210200 its reverse (2012221221021), we get a palindrome (122134343431221).

It can be divided in two parts, 12012 and 2122210200, that added together give a palindrome (2122222212).

The spelling of 120122122210200 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred ten thousand, two hundred".