212201011022000 has 960 divisors, whose sum is σ = 731711415472128. Its totient is φ = 58398278400000.

The previous prime is 212201011021999. The next prime is 212201011022009. The reversal of 212201011022000 is 220110102212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (212201011022009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321992825 + ... + 322651175.

Almost surely, 2^{212201011022000} is an apocalyptic number.

212201011022000 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 212201011022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365855707736064).

212201011022000 is an abundant number, since it is smaller than the sum of its proper divisors (519510404450128).

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

212201011022000 is a wasteful number, since it uses less digits than its factorization.

212201011022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658435 (or 658412 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212201011022000 its reverse (220110102212), we get a palindrome (212421121124212).

The spelling of 212201011022000 in words is "two hundred twelve trillion, two hundred one billion, eleven million, twenty-two thousand".