212011222221000 has 768 divisors, whose sum is σ = 768737443968000. Its totient is φ = 52563658752000.

The previous prime is 212011222220999. The next prime is 212011222221013. The reversal of 212011222221000 is 122222110212.

It is a happy number.

212011222221000 is a `hidden beast` number, since 2 + 120 + 112 + 222 + 210 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 7896415576 + ... + 7896442424.

It is an arithmetic number, because the mean of its divisors is an integer number (1000960213500).

Almost surely, 2^{212011222221000} is an apocalyptic number.

212011222221000 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 212011222221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384368721984000).

212011222221000 is an abundant number, since it is smaller than the sum of its proper divisors (556726221747000).

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

212011222221000 is a wasteful number, since it uses less digits than its factorization.

212011222221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27967 (or 27950 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212011222221000 its reverse (122222110212), we get a palindrome (212133444331212).

The spelling of 212011222221000 in words is "two hundred twelve trillion, eleven billion, two hundred twenty-two million, two hundred twenty-one thousand".