1014213200 has 480 divisors, whose sum is σ = 3487276800. Its totient is φ = 272793600.

The previous prime is 1014213191. The next prime is 1014213209. The reversal of 1014213200 is 23124101.

1014213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1014213191) and next prime (1014213209).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014213209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6806726 + ... + 6806874.

It is an arithmetic number, because the mean of its divisors is an integer number (7265160).

Almost surely, 2^1014213200 is an apocalyptic number.

1014213200 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 1014213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743638400).

1014213200 is an abundant number, since it is smaller than the sum of its proper divisors (2473063600).

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

1014213200 is a wasteful number, since it uses less digits than its factorization.

1014213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1014213200 is about 31846.7141162161. The cubic root of 1014213200 is about 1004.7154627936.

Adding to 1014213200 its reverse (23124101), we get a palindrome (1037337301).

The spelling of 1014213200 in words is "one billion, fourteen million, two hundred thirteen thousand, two hundred".