120013210020312 has 640 divisors, whose sum is σ = 394650272016000. Its totient is φ = 34058973312000.

The previous prime is 120013210020307. The next prime is 120013210020337. The reversal of 120013210020312 is 213020012310021.

120013210020312 is a `hidden beast` number, since 1 + 200 + 1 + 32 + 100 + 20 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 52338947838 + ... + 52338950130.

It is an arithmetic number, because the mean of its divisors is an integer number (616641050025).

Almost surely, 2^{120013210020312} is an apocalyptic number.

120013210020312 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 120013210020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197325136008000).

120013210020312 is an abundant number, since it is smaller than the sum of its proper divisors (274637061995688).

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

120013210020312 is a wasteful number, since it uses less digits than its factorization.

120013210020312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3787 counting only the distinct ones).

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

Adding to 120013210020312 its reverse (213020012310021), we get a palindrome (333033222330333).

The spelling of 120013210020312 in words is "one hundred twenty trillion, thirteen billion, two hundred ten million, twenty thousand, three hundred twelve".