120212131020300 has 288 divisors, whose sum is σ = 423356453452800. Its totient is φ = 29020398624000.

The previous prime is 120212131020253. The next prime is 120212131020329. The reversal of 120212131020300 is 3020131212021.

120212131020300 is a `hidden beast` number, since 1 + 2 + 0 + 212 + 131 + 0 + 20 + 300 = 666.

120212131020300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 1369371 + ... + 15565970.

It is an arithmetic number, because the mean of its divisors is an integer number (1469987685600).

Almost surely, 2^{120212131020300} is an apocalyptic number.

120212131020300 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 120212131020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211678226726400).

120212131020300 is an abundant number, since it is smaller than the sum of its proper divisors (303144322432500).

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

120212131020300 is a wasteful number, since it uses less digits than its factorization.

120212131020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16935614 (or 16935601 counting only the distinct ones).

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

Adding to 120212131020300 its reverse (3020131212021), we get a palindrome (123232262232321).

The spelling of 120212131020300 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred thirty-one million, twenty thousand, three hundred".