312120144 has 240 divisors, whose sum is σ = 1078105600. Its totient is φ = 82301184.

The previous prime is 312120139. The next prime is 312120169. The reversal of 312120144 is 441021213.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823347 + ... + 823725.

Almost surely, 2^312120144 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 312120144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539052800).

312120144 is an abundant number, since it is smaller than the sum of its proper divisors (765985456).

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

312120144 is a wasteful number, since it uses less digits than its factorization.

312120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 312120144 is about 17666.9223126157. The cubic root of 312120144 is about 678.3293359150.

Adding to 312120144 its reverse (441021213), we get a palindrome (753141357).

The spelling of 312120144 in words is "three hundred twelve million, one hundred twenty thousand, one hundred forty-four".