10012000 has 48 divisors (see below), whose sum is σ = 24609312. Its totient is φ = 4003200.

The previous prime is 10011979. The next prime is 10012001. The reversal of 10012000 is 21001.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2749 + ... + 5251.

It is an arithmetic number, because the mean of its divisors is an integer number (512694).

Almost surely, 2^10012000 is an apocalyptic number.

10012000 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 10012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12304656).

10012000 is an abundant number, since it is smaller than the sum of its proper divisors (14597312).

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

10012000 is an equidigital number, since it uses as much as digits as its factorization.

10012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 10012000 is about 3164.1744578958. The cubic root of 10012000 is about 215.5296119428.

Adding to 10012000 its reverse (21001), we get a palindrome (10033001).

Subtracting from 10012000 its reverse (21001), we obtain a palindrome (9990999).

It can be divided in two parts, 100 and 12000, that added together give a square (12100 = 110²).

The spelling of 10012000 in words is "ten million, twelve thousand".