312041230011420 has 576 divisors, whose sum is σ = 1219925942968320. Its totient is φ = 58703198625792.

The previous prime is 312041230011373. The next prime is 312041230011457. The reversal of 312041230011420 is 24110032140213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 293244 + ... + 24983363.

It is an arithmetic number, because the mean of its divisors is an integer number (2117926984320).

Almost surely, 2^{312041230011420} is an apocalyptic number.

312041230011420 is a gapful number since it is divisible by the number (30) 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 312041230011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609962971484160).

312041230011420 is an abundant number, since it is smaller than the sum of its proper divisors (907884712956900).

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

312041230011420 is a wasteful number, since it uses less digits than its factorization.

312041230011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25276682 (or 25276673 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 312041230011420 its reverse (24110032140213), we get a palindrome (336151262151633).

The spelling of 312041230011420 in words is "three hundred twelve trillion, forty-one billion, two hundred thirty million, eleven thousand, four hundred twenty".