120111210212200 has 192 divisors, whose sum is σ = 296892053786160. Its totient is φ = 45033896017920.

The previous prime is 120111210212167. The next prime is 120111210212209. The reversal of 120111210212200 is 2212012111021.

It can be written as a sum of positive squares in 24 ways, for example, as 42519264804 + 120068690947396 = 206202^2 + 10957586^2 .

It is not an unprimeable number, because it can be changed into a prime (120111210212209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6494946154 + ... + 6494964646.

Almost surely, 2^{120111210212200} is an apocalyptic number.

120111210212200 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 120111210212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148446026893080).

120111210212200 is an abundant number, since it is smaller than the sum of its proper divisors (176780843573960).

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

120111210212200 is a wasteful number, since it uses less digits than its factorization.

120111210212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26216 (or 26207 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120111210212200 its reverse (2212012111021), we get a palindrome (122323222323221).

The spelling of 120111210212200 in words is "one hundred twenty trillion, one hundred eleven billion, two hundred ten million, two hundred twelve thousand, two hundred".