120210211211202 has 192 divisors, whose sum is σ = 311010885619200. Its totient is φ = 32829468134400.

The previous prime is 120210211211201. The next prime is 120210211211203. The reversal of 120210211211202 is 202112112012021.

120210211211202 is a `hidden beast` number, since 1 + 20 + 21 + 0 + 211 + 211 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (120210211211201) and next prime (120210211211203).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120210211211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6634474699 + ... + 6634492817.

It is an arithmetic number, because the mean of its divisors is an integer number (1619848362600).

Almost surely, 2^{120210211211202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120210211211202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155505442809600).

120210211211202 is an abundant number, since it is smaller than the sum of its proper divisors (190800674407998).

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

120210211211202 is a wasteful number, since it uses less digits than its factorization.

120210211211202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36241 (or 36238 counting only the distinct ones).

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

Adding to 120210211211202 its reverse (202112112012021), we get a palindrome (322322323223223).

The spelling of 120210211211202 in words is "one hundred twenty trillion, two hundred ten billion, two hundred eleven million, two hundred eleven thousand, two hundred two".