312424242223100 has 144 divisors (see below), whose sum is σ = 792882589433088. Its totient is φ = 104618985730560.

The previous prime is 312424242222947. The next prime is 312424242223111. The reversal of 312424242223100 is 1322242424213.

It is a super-2 number, since 2×312424242223100² (a number of 30 digits) contains 22 as substring.

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, 473353919 + ... + 474013481.

Almost surely, 2^{312424242223100} 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 312424242223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396441294716544).

312424242223100 is an abundant number, since it is smaller than the sum of its proper divisors (480458347209988).

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

312424242223100 is a wasteful number, since it uses less digits than its factorization.

312424242223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675364 (or 675357 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 312424242223100 its reverse (1322242424213), we get a palindrome (313746484647313).

The spelling of 312424242223100 in words is "three hundred twelve trillion, four hundred twenty-four billion, two hundred forty-two million, two hundred twenty-three thousand, one hundred".