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22121200011222 = 23213472234390023
BaseRepresentation
bin1010000011110011111100…
…10001001100011111010110
32220022202200110111212001100
411001321332101030133112
510344413204200324342
6115014201120010530
74442126646435234
oct501717621143726
986282613455040
1022121200011222
117059603787154
1225932a1160a46
13c4603552ba80
14566959587954
15285653357e4c
hex141e7e44c7d6

22121200011222 has 96 divisors (see below), whose sum is σ = 52717293877248. Its totient is φ = 6661331287488.

The previous prime is 22121200011217. The next prime is 22121200011233. The reversal of 22121200011222 is 22211000212122.

It is a happy number.

22121200011222 is a `hidden beast` number, since 221 + 21 + 200 + 0 + 1 + 1 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22121200011195 and 22121200011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245683303 + ... + 245773325.

It is an arithmetic number, because the mean of its divisors is an integer number (549138477888).

Almost surely, 222121200011222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22121200011222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26358646938624).

22121200011222 is an abundant number, since it is smaller than the sum of its proper divisors (30596093866026).

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

22121200011222 is a wasteful number, since it uses less digits than its factorization.

22121200011222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112434 (or 112431 counting only the distinct ones).

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

Adding to 22121200011222 its reverse (22211000212122), we get a palindrome (44332200223344).

The spelling of 22121200011222 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred million, eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 234 282 423 611 846 1222 1833 3666 5499 10998 22343 44686 67029 90023 134058 180046 201087 270069 290459 402174 540138 580918 810207 871377 1050121 1170299 1620414 1742754 2100242 2340598 2614131 3150363 3510897 4231081 5228262 6300726 7021794 8462162 9451089 10532691 12693243 13651573 18902178 21065382 25386486 27303146 38079729 40954719 55004053 76159458 81909438 110008106 122864157 165012159 245728314 330024318 495036477 990072954 2011383889 4022767778 6034151667 12068303334 18102455001 26147990557 36204910002 52295981114 78443971671 94535042783 156887943342 189070085566 235331915013 283605128349 470663830026 567210256698 850815385047 1228955556179 1701630770094 2457911112358 3686866668537 7373733337074 11060600005611 22121200011222