312201211120 has 80 divisors (see below), whose sum is σ = 741726776448. Its totient is φ = 122155038720.

The previous prime is 312201211103. The next prime is 312201211183. The reversal of 312201211120 is 21112102213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 312201211094 and 312201211103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6975052 + ... + 7019668.

Almost surely, 2^312201211120 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 312201211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370863388224).

312201211120 is an abundant number, since it is smaller than the sum of its proper divisors (429525565328).

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

312201211120 is a wasteful number, since it uses less digits than its factorization.

312201211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46538 (or 46532 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 312201211120 its reverse (21112102213), we get a palindrome (333313313333).

The spelling of 312201211120 in words is "three hundred twelve billion, two hundred one million, two hundred eleven thousand, one hundred twenty".