312001132110 has 128 divisors (see below), whose sum is σ = 788943504384. Its totient is φ = 78862371840.

The previous prime is 312001132097. The next prime is 312001132127. The reversal of 312001132110 is 11231100213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312001132110.

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, 33809317 + ... + 33818543.

It is an arithmetic number, because the mean of its divisors is an integer number (6163621128).

Almost surely, 2^312001132110 is an apocalyptic number.

312001132110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312001132110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394471752192).

312001132110 is an abundant number, since it is smaller than the sum of its proper divisors (476942372274).

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

312001132110 is a wasteful number, since it uses less digits than its factorization.

312001132110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10058.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 312001132110 its reverse (11231100213), we get a palindrome (323232232323).

The spelling of 312001132110 in words is "three hundred twelve billion, one million, one hundred thirty-two thousand, one hundred ten".