120202012210200 has 192 divisors, whose sum is σ = 394564598928000. Its totient is φ = 30166882314240.

The previous prime is 120202012210193. The next prime is 120202012210207. The reversal of 120202012210200 is 2012210202021.

It is an interprime number because it is at equal distance from previous prime (120202012210193) and next prime (120202012210207).

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 120202012210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120202012210207) 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 47 ways as a sum of consecutive naturals, for example, 217790191 + ... + 218341409.

It is an arithmetic number, because the mean of its divisors is an integer number (2055023952750).

Almost surely, 2^{120202012210200} is an apocalyptic number.

120202012210200 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 120202012210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197282299464000).

120202012210200 is an abundant number, since it is smaller than the sum of its proper divisors (274362586717800).

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

120202012210200 is a wasteful number, since it uses less digits than its factorization.

120202012210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572634 (or 572625 counting only the distinct ones).

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

Adding to 120202012210200 its reverse (2012210202021), we get a palindrome (122214222412221).

The spelling of 120202012210200 in words is "one hundred twenty trillion, two hundred two billion, twelve million, two hundred ten thousand, two hundred".