312220111123120 has 40 divisors (see below), whose sum is σ = 730719121027680. Its totient is φ = 124060971302400.

The previous prime is 312220111123111. The next prime is 312220111123121. The reversal of 312220111123120 is 21321111022213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×312220111123120² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312220111123091 and 312220111123100.

It is not an unprimeable number, because it can be changed into a prime (312220111123121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12923005765 + ... + 12923029924.

It is an arithmetic number, because the mean of its divisors is an integer number (18267978025692).

Almost surely, 2^{312220111123120} is an apocalyptic number.

It is an amenable number.

312220111123120 is an abundant number, since it is smaller than the sum of its proper divisors (418499009904560).

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

312220111123120 is a wasteful number, since it uses less digits than its factorization.

312220111123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25846035853 (or 25846035847 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 312220111123120 its reverse (21321111022213), we get a palindrome (333541222145333).

The spelling of 312220111123120 in words is "three hundred twelve trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty-three thousand, one hundred twenty".