120011220111200 has 288 divisors, whose sum is σ = 320181401328768. Its totient is φ = 43562727936000.

The previous prime is 120011220111179. The next prime is 120011220111229. The reversal of 120011220111200 is 2111022110021.

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, 13745410835 + ... + 13745419565.

It is an arithmetic number, because the mean of its divisors is an integer number (1111740976836).

Almost surely, 2^{120011220111200} is an apocalyptic number.

120011220111200 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 120011220111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160090700664384).

120011220111200 is an abundant number, since it is smaller than the sum of its proper divisors (200170181217568).

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

120011220111200 is a wasteful number, since it uses less digits than its factorization.

120011220111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120011220111200 its reverse (2111022110021), we get a palindrome (122122242221221).

It can be divided in two parts, 1200112 and 20111200, that added together give a palindrome (21311312).

The spelling of 120011220111200 in words is "one hundred twenty trillion, eleven billion, two hundred twenty million, one hundred eleven thousand, two hundred".