1012024000 has 224 divisors, whose sum is σ = 2782555776. Its totient is φ = 362188800.

The previous prime is 1012023997. The next prime is 1012024001. The reversal of 1012024000 is 4202101.

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

It is not an unprimeable number, because it can be changed into a prime (1012024001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3847869 + ... + 3848131.

It is an arithmetic number, because the mean of its divisors is an integer number (12422124).

Almost surely, 2^1012024000 is an apocalyptic number.

1012024000 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 1012024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391277888).

1012024000 is an abundant number, since it is smaller than the sum of its proper divisors (1770531776).

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

1012024000 is a wasteful number, since it uses less digits than its factorization.

1012024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 320 counting only the distinct ones).

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

The square root of 1012024000 is about 31812.3246557054. The cubic root of 1012024000 is about 1003.9920423913.

Adding to 1012024000 its reverse (4202101), we get a palindrome (1016226101).

The spelling of 1012024000 in words is "one billion, twelve million, twenty-four thousand".