120012211200 has 396 divisors, whose sum is σ = 461419706832. Its totient is φ = 27430502400.

The previous prime is 120012211183. The next prime is 120012211201. The reversal of 120012211200 is 2112210021.

It is a super-2 number, since 2×120012211200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120012211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3747255 + ... + 3779145.

Almost surely, 2^120012211200 is an apocalyptic number.

120012211200 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 120012211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230709853416).

120012211200 is an abundant number, since it is smaller than the sum of its proper divisors (341407495632).

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

120012211200 is a wasteful number, since it uses less digits than its factorization.

120012211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31938 (or 31908 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120012211200 its reverse (2112210021), we get a palindrome (122124421221).

The spelling of 120012211200 in words is "one hundred twenty billion, twelve million, two hundred eleven thousand, two hundred".