312142224142420 has 192 divisors, whose sum is σ = 762079044819456. Its totient is φ = 105190363791360.

The previous prime is 312142224142409. The next prime is 312142224142439. The reversal of 312142224142420 is 24241422241213.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1173894604 + ... + 1174160476.

It is an arithmetic number, because the mean of its divisors is an integer number (3969161691768).

Almost surely, 2^{312142224142420} 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 312142224142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381039522409728).

312142224142420 is an abundant number, since it is smaller than the sum of its proper divisors (449936820677036).

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

312142224142420 is a wasteful number, since it uses less digits than its factorization.

312142224142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266610 (or 266608 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 312142224142420 its reverse (24241422241213), we get a palindrome (336383646383633).

The spelling of 312142224142420 in words is "three hundred twelve trillion, one hundred forty-two billion, two hundred twenty-four million, one hundred forty-two thousand, four hundred twenty".