120100001211200 has 336 divisors, whose sum is σ = 317199916905984. Its totient is φ = 44595270451200.

The previous prime is 120100001211089. The next prime is 120100001211293. The reversal of 120100001211200 is 2112100001021.

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, 1370319380 + ... + 1370407020.

It is an arithmetic number, because the mean of its divisors is an integer number (944047371744).

Almost surely, 2^{120100001211200} is an apocalyptic number.

120100001211200 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 120100001211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158599958452992).

120100001211200 is an abundant number, since it is smaller than the sum of its proper divisors (197099915694784).

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

120100001211200 is a wasteful number, since it uses less digits than its factorization.

120100001211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88370 (or 88355 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120100001211200 its reverse (2112100001021), we get a palindrome (122212101212221).

The spelling of 120100001211200 in words is "one hundred twenty trillion, one hundred billion, one million, two hundred eleven thousand, two hundred".