12312145040 has 80 divisors (see below), whose sum is σ = 31063386816. Its totient is φ = 4511270400.

The previous prime is 12312144997. The next prime is 12312145063. The reversal of 12312145040 is 4054121321.

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

It is a junction number, because it is equal to n+sod(n) for n = 12312144997 and 12312145015.

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, 91055 + ... + 181425.

Almost surely, 2^12312145040 is an apocalyptic number.

12312145040 is a gapful number since it is divisible by the number (10) 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 12312145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15531693408).

12312145040 is an abundant number, since it is smaller than the sum of its proper divisors (18751241776).

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

12312145040 is a wasteful number, since it uses less digits than its factorization.

12312145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90528 (or 90522 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 12312145040 its reverse (4054121321), we get a palindrome (16366266361).

The spelling of 12312145040 in words is "twelve billion, three hundred twelve million, one hundred forty-five thousand, forty".