120212102200 has 192 divisors, whose sum is σ = 290465248320. Its totient is φ = 46244352000.

The previous prime is 120212102191. The next prime is 120212102251. The reversal of 120212102200 is 2201212021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118668894 + ... + 118669906.

It is an arithmetic number, because the mean of its divisors is an integer number (1512839835).

Almost surely, 2^120212102200 is an apocalyptic number.

120212102200 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 120212102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145232624160).

120212102200 is an abundant number, since it is smaller than the sum of its proper divisors (170253146120).

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

120212102200 is a wasteful number, since it uses less digits than its factorization.

120212102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120212102200 its reverse (2201212021), we get a palindrome (122413314221).

The spelling of 120212102200 in words is "one hundred twenty billion, two hundred twelve million, one hundred two thousand, two hundred".