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222210001220120 = 2351741239273112211
BaseRepresentation
bin110010100001100101001100…
…001100000011001000011000
31002010210001212001021201111122
4302201211030030003020120
5213111142040303020440
62104333510523344412
764543066656634604
oct6241451414031030
91063701761251448
10222210001220120
1164891806760041
1220b09953982108
1396cb40c14ca74
143cc3042bb2504
151aa52d33c67b5
hexca194c303218

222210001220120 has 256 divisors, whose sum is σ = 544807449446400. Its totient is φ = 81237252096000.

The previous prime is 222210001220047. The next prime is 222210001220153. The reversal of 222210001220120 is 21022100012222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18197520815 + ... + 18197533025.

It is an arithmetic number, because the mean of its divisors is an integer number (2128154099400).

Almost surely, 2222210001220120 is an apocalyptic number.

222210001220120 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 222210001220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272403724723200).

222210001220120 is an abundant number, since it is smaller than the sum of its proper divisors (322597448226280).

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

222210001220120 is a wasteful number, since it uses less digits than its factorization.

222210001220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15250 (or 15246 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 222210001220120 its reverse (21022100012222), we get a palindrome (243232101232342).

The spelling of 222210001220120 in words is "two hundred twenty-two trillion, two hundred ten billion, one million, two hundred twenty thousand, one hundred twenty".