1234213200 has 300 divisors, whose sum is σ = 4833568608. Its totient is φ = 299116800.

The previous prime is 1234213177. The next prime is 1234213207. The reversal of 1234213200 is 23124321.

1234213200 is a `hidden beast` number, since 1 + 2 + 342 + 1 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234213207) 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 59 ways as a sum of consecutive naturals, for example, 354669 + ... + 358131.

Almost surely, 2^1234213200 is an apocalyptic number.

1234213200 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 1234213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416784304).

1234213200 is an abundant number, since it is smaller than the sum of its proper divisors (3599355408).

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

1234213200 is a wasteful number, since it uses less digits than its factorization.

1234213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1234213200 is about 35131.3705966619. The cubic root of 1234213200 is about 1072.6632349714.

Adding to 1234213200 its reverse (23124321), we get a palindrome (1257337521).

It can be divided in two parts, 123421 and 3200, that added together give a palindrome (126621).

The spelling of 1234213200 in words is "one billion, two hundred thirty-four million, two hundred thirteen thousand, two hundred".