10012140000 has 240 divisors, whose sum is σ = 36492881040. Its totient is φ = 2669760000.

The previous prime is 10012139947. The next prime is 10012140001. The reversal of 10012140000 is 4121001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012140001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 530730 + ... + 549270.

It is an arithmetic number, because the mean of its divisors is an integer number (152053671).

Almost surely, 2^10012140000 is an apocalyptic number.

10012140000 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 10012140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18246440520).

10012140000 is an abundant number, since it is smaller than the sum of its proper divisors (26480741040).

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

10012140000 is an equidigital number, since it uses as much as digits as its factorization.

10012140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18580 (or 18551 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10012140000 its reverse (4121001), we get a palindrome (10016261001).

The spelling of 10012140000 in words is "ten billion, twelve million, one hundred forty thousand".