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220122112221200 = 24527295351148367
BaseRepresentation
bin110010000011001100101100…
…010011100110000000010000
31001212101110122110210010111102
4302003030230103212000100
5212322440041212034300
62100054411412203532
764236204100156220
oct6203145423460020
91055343573703442
10220122112221200
1164157299860562
12208311820095a8
1395a95702366b7
143c4dd77936080
151a6ad345590d5
hexc8332c4e6010

220122112221200 has 240 divisors, whose sum is σ = 637030418158080. Its totient is φ = 71493140060160.

The previous prime is 220122112221181. The next prime is 220122112221223. The reversal of 220122112221200 is 2122211221022.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 47 ways as a sum of consecutive naturals, for example, 21270584 + ... + 29877783.

It is an arithmetic number, because the mean of its divisors is an integer number (2654293408992).

Almost surely, 2220122112221200 is an apocalyptic number.

220122112221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220122112221200 is an abundant number, since it is smaller than the sum of its proper divisors (416908305936880).

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

220122112221200 is a wasteful number, since it uses less digits than its factorization.

220122112221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51148474 (or 51148463 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 220122112221200 its reverse (2122211221022), we get a palindrome (222244323442222).

The spelling of 220122112221200 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty-one thousand, two hundred".