10020140442312 has 1152 divisors, whose sum is σ = 35507350978560. Its totient is φ = 2327807139840.

The previous prime is 10020140442311. The next prime is 10020140442317. The reversal of 10020140442312 is 21324404102001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10020140442311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11610822793 + ... + 11610823655.

It is an arithmetic number, because the mean of its divisors is an integer number (30822353280).

Almost surely, 2^{10020140442312} is an apocalyptic number.

10020140442312 is a gapful number since it is divisible by the number (12) 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 10020140442312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17753675489280).

10020140442312 is an abundant number, since it is smaller than the sum of its proper divisors (25487210536248).

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

10020140442312 is a wasteful number, since it uses less digits than its factorization.

10020140442312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10020140442312 its reverse (21324404102001), we get a palindrome (31344544544313).

The spelling of 10020140442312 in words is "ten trillion, twenty billion, one hundred forty million, four hundred forty-two thousand, three hundred twelve".