220210222212000 has 768 divisors, whose sum is σ = 809305136640000. Its totient is φ = 58156218777600.

The previous prime is 220210222211957. The next prime is 220210222212053. The reversal of 220210222212000 is 212222012022.

220210222212000 is a `hidden beast` number, since 2 + 20 + 210 + 222 + 212 + 0 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39542145216 + ... + 39542150784.

It is an arithmetic number, because the mean of its divisors is an integer number (1053782730000).

Almost surely, 2^{220210222212000} is an apocalyptic number.

220210222212000 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 220210222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404652568320000).

220210222212000 is an abundant number, since it is smaller than the sum of its proper divisors (589094914428000).

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

220210222212000 is a wasteful number, since it uses less digits than its factorization.

220210222212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9071 (or 9047 counting only the distinct ones).

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

Adding to 220210222212000 its reverse (212222012022), we get a palindrome (220422444224022).

The spelling of 220210222212000 in words is "two hundred twenty trillion, two hundred ten billion, two hundred twenty-two million, two hundred twelve thousand".