1012363200 has 252 divisors, whose sum is σ = 3625662040. Its totient is φ = 267909120.

The previous prime is 1012363199. The next prime is 1012363213. The reversal of 1012363200 is 23632101.

1012363200 is a `hidden beast` number, since 10 + 1 + 23 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3297447 + ... + 3297753.

Almost surely, 2^1012363200 is an apocalyptic number.

1012363200 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 1012363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812831020).

1012363200 is an abundant number, since it is smaller than the sum of its proper divisors (2613298840).

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

1012363200 is a wasteful number, since it uses less digits than its factorization.

1012363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1012363200 is about 31817.6554761661. The cubic root of 1012363200 is about 1004.1041991715.

Adding to 1012363200 its reverse (23632101), we get a palindrome (1035995301).

The spelling of 1012363200 in words is "one billion, twelve million, three hundred sixty-three thousand, two hundred".