120120001221200 has 60 divisors (see below), whose sum is σ = 288705000945468. Its totient is φ = 48028571059200.

The previous prime is 120120001221061. The next prime is 120120001221203. The reversal of 120120001221200 is 2122100021021.

It can be written as a sum of positive squares in 6 ways, for example, as 4452471367744 + 115667529853456 = 2110088^2 + 10754884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120001221203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59726531 + ... + 61704930.

Almost surely, 2^{120120001221200} is an apocalyptic number.

120120001221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120120001221200 is an abundant number, since it is smaller than the sum of its proper divisors (168584999724268).

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

120120001221200 is a wasteful number, since it uses less digits than its factorization.

120120001221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121433952 (or 121433941 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120120001221200 its reverse (2122100021021), we get a palindrome (122242101242221).

The spelling of 120120001221200 in words is "one hundred twenty trillion, one hundred twenty billion, one million, two hundred twenty-one thousand, two hundred".