120010222211200 has 192 divisors, whose sum is σ = 312092534174400. Its totient is φ = 45473699082240.

The previous prime is 120010222211129. The next prime is 120010222211263. The reversal of 120010222211200 is 2112222010021.

It is a happy number.

120010222211200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775548237 + ... + 775702963.

It is an arithmetic number, because the mean of its divisors is an integer number (1625481948825).

Almost surely, 2^{120010222211200} is an apocalyptic number.

120010222211200 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 120010222211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156046267087200).

120010222211200 is an abundant number, since it is smaller than the sum of its proper divisors (192082311963200).

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

120010222211200 is a wasteful number, since it uses less digits than its factorization.

120010222211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167527 (or 167510 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120010222211200 its reverse (2112222010021), we get a palindrome (122122444221221).

The spelling of 120010222211200 in words is "one hundred twenty trillion, ten billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".