120002210121200 has 120 divisors (see below), whose sum is σ = 314549516418960. Its totient is φ = 43632362188800.

The previous prime is 120002210121151. The next prime is 120002210121203. The reversal of 120002210121200 is 2121012200021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002210121203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38582552 + ... + 41576648.

It is an arithmetic number, because the mean of its divisors is an integer number (2621245970158).

Almost surely, 2^{120002210121200} is an apocalyptic number.

120002210121200 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 120002210121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157274758209480).

120002210121200 is an abundant number, since it is smaller than the sum of its proper divisors (194547306297760).

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

120002210121200 is a wasteful number, since it uses less digits than its factorization.

120002210121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003235 (or 3003224 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120002210121200 its reverse (2121012200021), we get a palindrome (122123222321221).

The spelling of 120002210121200 in words is "one hundred twenty trillion, two billion, two hundred ten million, one hundred twenty-one thousand, two hundred".