212321021101200 has 360 divisors, whose sum is σ = 803865117300960. Its totient is φ = 51467331225600.

The previous prime is 212321021101171. The next prime is 212321021101247. The reversal of 212321021101200 is 2101120123212.

212321021101200 is a `hidden beast` number, since 2 + 12 + 321 + 0 + 211 + 0 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 471925956 + ... + 472375644.

Almost surely, 2^{212321021101200} is an apocalyptic number.

212321021101200 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 212321021101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401932558650480).

212321021101200 is an abundant number, since it is smaller than the sum of its proper divisors (591544096199760).

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

212321021101200 is a wasteful number, since it uses less digits than its factorization.

212321021101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461647 (or 461633 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 212321021101200 its reverse (2101120123212), we get a palindrome (214422141224412).

The spelling of 212321021101200 in words is "two hundred twelve trillion, three hundred twenty-one billion, twenty-one million, one hundred one thousand, two hundred".