312224141201140 has 48 divisors (see below), whose sum is σ = 749442117295872. Its totient is φ = 107033394352896.

The previous prime is 312224141201087. The next prime is 312224141201201. The reversal of 312224141201140 is 41102141422213.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 312224141201099 and 312224141201108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154016784 + ... + 156030823.

It is an arithmetic number, because the mean of its divisors is an integer number (15613377443664).

Almost surely, 2^{312224141201140} is an apocalyptic number.

It is an amenable number.

312224141201140 is an abundant number, since it is smaller than the sum of its proper divisors (437217976094732).

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

312224141201140 is a wasteful number, since it uses less digits than its factorization.

312224141201140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310054816 (or 310054814 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 312224141201140 its reverse (41102141422213), we get a palindrome (353326282623353).

The spelling of 312224141201140 in words is "three hundred twelve trillion, two hundred twenty-four billion, one hundred forty-one million, two hundred one thousand, one hundred forty".