1012003200 has 768 divisors, whose sum is σ = 4302849600. Its totient is φ = 230031360.

The previous prime is 1012003199. The next prime is 1012003219. The reversal of 1012003200 is 23002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 95 ways as a sum of consecutive naturals, for example, 19094374 + ... + 19094426.

Almost surely, 2^1012003200 is an apocalyptic number.

1012003200 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 1012003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151424800).

1012003200 is an abundant number, since it is smaller than the sum of its proper divisors (3290846400).

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

1012003200 is a wasteful number, since it uses less digits than its factorization.

1012003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1012003200 is about 31811.9977367031. The cubic root of 1012003200 is about 1003.9851640374.

Adding to 1012003200 its reverse (23002101), we get a palindrome (1035005301).

The spelling of 1012003200 in words is "one billion, twelve million, three thousand, two hundred".