120100313112 has 384 divisors, whose sum is σ = 350210918400. Its totient is φ = 34100352000.

The previous prime is 120100313101. The next prime is 120100313143. The reversal of 120100313112 is 211313001021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120100313091 and 120100313100.

It is a congruent number.

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, 795366237 + ... + 795366387.

It is an arithmetic number, because the mean of its divisors is an integer number (912007600).

Almost surely, 2^120100313112 is an apocalyptic number.

120100313112 is a gapful number since it is divisible by the number (12) 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 120100313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175105459200).

120100313112 is an abundant number, since it is smaller than the sum of its proper divisors (230110605288).

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

120100313112 is a wasteful number, since it uses less digits than its factorization.

120100313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120100313112 its reverse (211313001021), we get a palindrome (331413314133).

The spelling of 120100313112 in words is "one hundred twenty billion, one hundred million, three hundred thirteen thousand, one hundred twelve".