120312011310210 has 384 divisors, whose sum is σ = 340775573299200. Its totient is φ = 29338203525120.

The previous prime is 120312011310203. The next prime is 120312011310259. The reversal of 120312011310210 is 12013110213021.

120312011310210 is a `hidden beast` number, since 1 + 20 + 3 + 120 + 1 + 1 + 310 + 210 = 666.

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 191 ways as a sum of consecutive naturals, for example, 57759005829 + ... + 57759007911.

It is an arithmetic number, because the mean of its divisors is an integer number (887436388800).

Almost surely, 2^{120312011310210} is an apocalyptic number.

120312011310210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120312011310210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170387786649600).

120312011310210 is an abundant number, since it is smaller than the sum of its proper divisors (220463561988990).

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

120312011310210 is a wasteful number, since it uses less digits than its factorization.

120312011310210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120312011310210 its reverse (12013110213021), we get a palindrome (132325121523231).

The spelling of 120312011310210 in words is "one hundred twenty trillion, three hundred twelve billion, eleven million, three hundred ten thousand, two hundred ten".