120212212200120 has 128 divisors (see below), whose sum is σ = 400710173126400. Its totient is φ = 32056365990528.

The previous prime is 120212212200053. The next prime is 120212212200161. The reversal of 120212212200120 is 21002212212021.

It is a happy number.

120212212200120 is a `hidden beast` number, since 1 + 20 + 212 + 212 + 200 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120212212200093 and 120212212200102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204027787 + ... + 204616133.

It is an arithmetic number, because the mean of its divisors is an integer number (3130548227550).

Almost surely, 2^{120212212200120} is an apocalyptic number.

120212212200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212212200120 is an abundant number, since it is smaller than the sum of its proper divisors (280497960926280).

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

120212212200120 is a wasteful number, since it uses less digits than its factorization.

120212212200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777554 (or 777544 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120212212200120 its reverse (21002212212021), we get a palindrome (141214424412141).

The spelling of 120212212200120 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred twelve million, two hundred thousand, one hundred twenty".