212222022210000 has 1800 divisors, whose sum is σ = 842472424433640. Its totient is φ = 49779671040000.

The previous prime is 212222022209971. The next prime is 212222022210041. The reversal of 212222022210000 is 12220222212.

212222022210000 is a `hidden beast` number, since 2 + 122 + 220 + 222 + 100 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 163813991432256 + 48408030777744 = 12798984^2 + 6957588^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 77765488636 + ... + 77765491364.

Almost surely, 2^{212222022210000} is an apocalyptic number.

212222022210000 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 212222022210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421236212216820).

212222022210000 is an abundant number, since it is smaller than the sum of its proper divisors (630250402223640).

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

212222022210000 is a wasteful number, since it uses less digits than its factorization.

212222022210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3015 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212222022210000 its reverse (12220222212), we get a palindrome (212234242432212).

The spelling of 212222022210000 in words is "two hundred twelve trillion, two hundred twenty-two billion, twenty-two million, two hundred ten thousand".