211304401213200 has 240 divisors, whose sum is σ = 717039353526336. Its totient is φ = 53007766323200.

The previous prime is 211304401213117. The next prime is 211304401213253. The reversal of 211304401213200 is 2312104403112.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39963679 + ... + 44941121.

Almost surely, 2^{211304401213200} is an apocalyptic number.

211304401213200 is a gapful number since it is divisible by the number (20) 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 211304401213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358519676763168).

211304401213200 is an abundant number, since it is smaller than the sum of its proper divisors (505734952313136).

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

211304401213200 is a wasteful number, since it uses less digits than its factorization.

211304401213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979562 (or 4979551 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 211304401213200 its reverse (2312104403112), we get a palindrome (213616505616312).

The spelling of 211304401213200 in words is "two hundred eleven trillion, three hundred four billion, four hundred one million, two hundred thirteen thousand, two hundred".