312112122420 has 192 divisors, whose sum is σ = 1044811353600. Its totient is φ = 68105748480.

The previous prime is 312112122401. The next prime is 312112122437. The reversal of 312112122420 is 24221211213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 940060 + ... + 1227980.

It is an arithmetic number, because the mean of its divisors is an integer number (5441725800).

Almost surely, 2^312112122420 is an apocalyptic number.

312112122420 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 312112122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522405676800).

312112122420 is an abundant number, since it is smaller than the sum of its proper divisors (732699231180).

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

312112122420 is a wasteful number, since it uses less digits than its factorization.

312112122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288058 (or 288056 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 312112122420 its reverse (24221211213), we get a palindrome (336333333633).

The spelling of 312112122420 in words is "three hundred twelve billion, one hundred twelve million, one hundred twenty-two thousand, four hundred twenty".