1012424000 has 224 divisors, whose sum is σ = 2909986560. Its totient is φ = 341760000.

The previous prime is 1012423999. The next prime is 1012424041. The reversal of 1012424000 is 4242101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5655911 + ... + 5656089.

Almost surely, 2^1012424000 is an apocalyptic number.

1012424000 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 1012424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454993280).

1012424000 is an abundant number, since it is smaller than the sum of its proper divisors (1897562560).

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

1012424000 is a wasteful number, since it uses less digits than its factorization.

1012424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1012424000 is about 31818.6109061976. The cubic root of 1012424000 is about 1004.1243000975.

Adding to 1012424000 its reverse (4242101), we get a palindrome (1016666101).

The spelling of 1012424000 in words is "one billion, twelve million, four hundred twenty-four thousand".