1012000 has 96 divisors (see below), whose sum is σ = 2830464. Its totient is φ = 352000.

The previous prime is 1011979. The next prime is 1012007. The reversal of 1012000 is 2101.

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 (1012007) 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, 43989 + ... + 44011.

It is an arithmetic number, because the mean of its divisors is an integer number (29484).

2^1012000 is an apocalyptic number.

1012000 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 1012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232).

1012000 is an abundant number, since it is smaller than the sum of its proper divisors (1818464).

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

1012000 is a wasteful number, since it uses less digits than its factorization.

1012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 41 counting only the distinct ones).

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

The square root of 1012000 is about 1005.9821071967. The cubic root of 1012000 is about 100.3984105821.

Adding to 1012000 its reverse (2101), we get a palindrome (1014101).

The spelling of 1012000 in words is "one million, twelve thousand".