213435301200 has 120 divisors (see below), whose sum is σ = 745859407776. Its totient is φ = 51741888000.

The previous prime is 213435301193. The next prime is 213435301229. The reversal of 213435301200 is 2103534312.

213435301200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8071471 + ... + 8097870.

Almost surely, 2^213435301200 is an apocalyptic number.

213435301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213435301200 is an abundant number, since it is smaller than the sum of its proper divisors (532424106576).

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

213435301200 is a wasteful number, since it uses less digits than its factorization.

213435301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16169373 (or 16169362 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 213435301200 its reverse (2103534312), we get a palindrome (215538835512).

The spelling of 213435301200 in words is "two hundred thirteen billion, four hundred thirty-five million, three hundred one thousand, two hundred".