120212110201200 has 120 divisors (see below), whose sum is σ = 385149102974976. Its totient is φ = 32050765152000.

The previous prime is 120212110201163. The next prime is 120212110201363. The reversal of 120212110201200 is 2102011212021.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120212110201200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2418736 + ... + 15693135.

Almost surely, 2^{120212110201200} is an apocalyptic number.

120212110201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212110201200 is an abundant number, since it is smaller than the sum of its proper divisors (264936992773776).

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

120212110201200 is a wasteful number, since it uses less digits than its factorization.

120212110201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18117423 (or 18117412 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120212110201200 its reverse (2102011212021), we get a palindrome (122314121413221).

The spelling of 120212110201200 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred ten million, two hundred one thousand, two hundred".