1024012000 has 288 divisors, whose sum is σ = 2986847136. Its totient is φ = 340992000.

The previous prime is 1024011997. The next prime is 1024012021. The reversal of 1024012000 is 2104201.

It is a super-2 number, since 2×1024012000² = 2097201152288000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27675982 + ... + 27676018.

It is an arithmetic number, because the mean of its divisors is an integer number (10370997).

Almost surely, 2^1024012000 is an apocalyptic number.

1024012000 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 1024012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493423568).

1024012000 is an abundant number, since it is smaller than the sum of its proper divisors (1962835136).

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

1024012000 is a wasteful number, since it uses less digits than its factorization.

1024012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 72 counting only the distinct ones).

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

The square root of 1024012000 is about 32000.1874994507. The cubic root of 1024012000 is about 1007.9407771538.

Adding to 1024012000 its reverse (2104201), we get a palindrome (1026116201).

It can be divided in two parts, 102401 and 2000, that added together give a palindrome (104401).

The spelling of 1024012000 in words is "one billion, twenty-four million, twelve thousand".