10012020240 has 160 divisors (see below), whose sum is σ = 32070804480. Its totient is φ = 2582189568.

The previous prime is 10012020211. The next prime is 10012020251. The reversal of 10012020240 is 4202021001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 1058251 + ... + 1067669.

It is an arithmetic number, because the mean of its divisors is an integer number (200442528).

Almost surely, 2^10012020240 is an apocalyptic number.

10012020240 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 10012020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035402240).

10012020240 is an abundant number, since it is smaller than the sum of its proper divisors (22058784240).

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

10012020240 is a wasteful number, since it uses less digits than its factorization.

10012020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581 (or 9575 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10012020240 its reverse (4202021001), we get a palindrome (14214041241).

The spelling of 10012020240 in words is "ten billion, twelve million, twenty thousand, two hundred forty".