312141140420120 has 128 divisors (see below), whose sum is σ = 784096167444480. Its totient is φ = 110850109440000.

The previous prime is 312141140420119. The next prime is 312141140420147. The reversal of 312141140420120 is 21024041141213.

It is a self number, because there is not a number n which added to its sum of digits gives 312141140420120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129562520 + ... + 131949720.

It is an arithmetic number, because the mean of its divisors is an integer number (6125751308160).

Almost surely, 2^{312141140420120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312141140420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392048083722240).

312141140420120 is an abundant number, since it is smaller than the sum of its proper divisors (471955027024360).

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

312141140420120 is a wasteful number, since it uses less digits than its factorization.

312141140420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394177 (or 2394173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 312141140420120 its reverse (21024041141213), we get a palindrome (333165181561333).

The spelling of 312141140420120 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred forty million, four hundred twenty thousand, one hundred twenty".