120122121001200 has 120 divisors (see below), whose sum is σ = 405043362470400. Its totient is φ = 30346641089280.

The previous prime is 120122121001171. The next prime is 120122121001403. The reversal of 120122121001200 is 2100121221021.

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 120122121001200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2634234240 + ... + 2634279839.

It is an arithmetic number, because the mean of its divisors is an integer number (3375361353920).

Almost surely, 2^{120122121001200} is an apocalyptic number.

120122121001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122121001200 is an abundant number, since it is smaller than the sum of its proper divisors (284921241469200).

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

120122121001200 is a wasteful number, since it uses less digits than its factorization.

120122121001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268514119 (or 5268514108 counting only the distinct ones).

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

Adding to 120122121001200 its reverse (2100121221021), we get a palindrome (122222242222221).

The spelling of 120122121001200 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, one thousand, two hundred".