312440001120 has 288 divisors, whose sum is σ = 1150213532832. Its totient is φ = 76774588416.

The previous prime is 312440001119. The next prime is 312440001157. The reversal of 312440001120 is 21100044213.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312440001093 and 312440001102.

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, 10974424 + ... + 11002856.

It is an arithmetic number, because the mean of its divisors is an integer number (3993796989).

Almost surely, 2^312440001120 is an apocalyptic number.

312440001120 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 312440001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575106766416).

312440001120 is an abundant number, since it is smaller than the sum of its proper divisors (837773531712).

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

312440001120 is a wasteful number, since it uses less digits than its factorization.

312440001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29054 (or 29043 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 312440001120 its reverse (21100044213), we get a palindrome (333540045333).

The spelling of 312440001120 in words is "three hundred twelve billion, four hundred forty million, one thousand, one hundred twenty".