10012420 has 48 divisors (see below), whose sum is σ = 23296896. Its totient is φ = 3584000.

The previous prime is 10012417. The next prime is 10012423. The reversal of 10012420 is 2421001.

It is an interprime number because it is at equal distance from previous prime (10012417) and next prime (10012423).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10012397 and 10012406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15300 + ... + 15940.

It is an arithmetic number, because the mean of its divisors is an integer number (485352).

Almost surely, 2^10012420 is an apocalyptic number.

10012420 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 10012420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11648448).

10012420 is an abundant number, since it is smaller than the sum of its proper divisors (13284476).

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

10012420 is a wasteful number, since it uses less digits than its factorization.

10012420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10012420 is about 3164.2408252217. The cubic root of 10012420 is about 215.5326256987.

Adding to 10012420 its reverse (2421001), we get a palindrome (12433421).

The spelling of 10012420 in words is "ten million, twelve thousand, four hundred twenty".