211201210201200 has 120 divisors (see below), whose sum is σ = 678088989705600. Its totient is φ = 56192030273280.

The previous prime is 211201210201199. The next prime is 211201210201229. The reversal of 211201210201200 is 2102012102112.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211201210201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199929930 + ... + 200983529.

It is an arithmetic number, because the mean of its divisors is an integer number (5650741580880).

Almost surely, 2^{211201210201200} is an apocalyptic number.

211201210201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201210201200 is an abundant number, since it is smaller than the sum of its proper divisors (466887779504400).

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

211201210201200 is a wasteful number, since it uses less digits than its factorization.

211201210201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400913919 (or 400913908 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211201210201200 its reverse (2102012102112), we get a palindrome (213303222303312).

The spelling of 211201210201200 in words is "two hundred eleven trillion, two hundred one billion, two hundred ten million, two hundred one thousand, two hundred".