211220301200 has 120 divisors (see below), whose sum is σ = 539146070568. Its totient is φ = 79246090240.

The previous prime is 211220301191. The next prime is 211220301223. The reversal of 211220301200 is 2103022112.

It is a happy number.

211220301200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6036668416 + 205183632784 = 77696^2 + 452972^2 .

It is a super-2 number, since 2×211220301200² (a number of 23 digits) contains 22 as substring.

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, 1939394 + ... + 2045406.

Almost surely, 2^211220301200 is an apocalyptic number.

211220301200 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 211220301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269573035284).

211220301200 is an abundant number, since it is smaller than the sum of its proper divisors (327925769368).

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

211220301200 is a wasteful number, since it uses less digits than its factorization.

211220301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106341 (or 106330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 211220301200 its reverse (2103022112), we get a palindrome (213323323312).

The spelling of 211220301200 in words is "two hundred eleven billion, two hundred twenty million, three hundred one thousand, two hundred".