211021200121200 has 240 divisors, whose sum is σ = 772608685879296. Its totient is φ = 48229039180800.

The previous prime is 211021200121189. The next prime is 211021200121219. The reversal of 211021200121200 is 2121002120112.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211021200121200.

It is a congruent number.

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, 91861834 + ... + 94130966.

Almost surely, 2^{211021200121200} is an apocalyptic number.

211021200121200 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 211021200121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386304342939648).

211021200121200 is an abundant number, since it is smaller than the sum of its proper divisors (561587485758096).

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

211021200121200 is a wasteful number, since it uses less digits than its factorization.

211021200121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280232 (or 2280221 counting only the distinct ones).

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

Adding to 211021200121200 its reverse (2121002120112), we get a palindrome (213142202241312).

The spelling of 211021200121200 in words is "two hundred eleven trillion, twenty-one billion, two hundred million, one hundred twenty-one thousand, two hundred".