10312312140 has 144 divisors (see below), whose sum is σ = 33945047136. Its totient is φ = 2518963200.

The previous prime is 10312312139. The next prime is 10312312147. The reversal of 10312312140 is 4121321301.

10312312140 is a `hidden beast` number, since 1 + 0 + 312 + 312 + 1 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10312312147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289720 + ... + 323360.

It is an arithmetic number, because the mean of its divisors is an integer number (235729494).

Almost surely, 2^10312312140 is an apocalyptic number.

10312312140 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 10312312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16972523568).

10312312140 is an abundant number, since it is smaller than the sum of its proper divisors (23632734996).

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

10312312140 is a wasteful number, since it uses less digits than its factorization.

10312312140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33800 (or 33795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10312312140 its reverse (4121321301), we get a palindrome (14433633441).

The spelling of 10312312140 in words is "ten billion, three hundred twelve million, three hundred twelve thousand, one hundred forty".