312140841120 has 288 divisors, whose sum is σ = 1103833195920. Its totient is φ = 80227123200.

The previous prime is 312140841119. The next prime is 312140841151. The reversal of 312140841120 is 21148041213.

312140841120 is a `hidden beast` number, since 31 + 214 + 0 + 8 + 411 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 104347088784 + 207793752336 = 323028^2 + 455844^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25091542 + ... + 25103978.

Almost surely, 2^312140841120 is an apocalyptic number.

312140841120 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 312140841120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551916597960).

312140841120 is an abundant number, since it is smaller than the sum of its proper divisors (791692354800).

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

312140841120 is a wasteful number, since it uses less digits than its factorization.

312140841120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13088 (or 13077 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 312140841120 its reverse (21148041213), we get a palindrome (333288882333).

The spelling of 312140841120 in words is "three hundred twelve billion, one hundred forty million, eight hundred forty-one thousand, one hundred twenty".