120312120032100 has 216 divisors, whose sum is σ = 399379370349960. Its totient is φ = 30189579632640.

The previous prime is 120312120032081. The next prime is 120312120032113. The reversal of 120312120032100 is 1230021213021.

120312120032100 is a `hidden beast` number, since 1 + 20 + 3 + 121 + 200 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 69024292983396 + 51287827048704 = 8308086^2 + 7161552^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71522284 + ... + 73185116.

It is an arithmetic number, because the mean of its divisors is an integer number (1848978566435).

Almost surely, 2^{120312120032100} is an apocalyptic number.

120312120032100 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 120312120032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199689685174980).

120312120032100 is an abundant number, since it is smaller than the sum of its proper divisors (279067250317860).

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

120312120032100 is a wasteful number, since it uses less digits than its factorization.

120312120032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667599 (or 1667589 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120312120032100 its reverse (1230021213021), we get a palindrome (121542141245121).

The spelling of 120312120032100 in words is "one hundred twenty trillion, three hundred twelve billion, one hundred twenty million, thirty-two thousand, one hundred".