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22121200021122 = 2331753454663543
BaseRepresentation
bin1010000011110011111100…
…10001001110111010000010
32220022202200110112100122000
411001321332101032322002
510344413204201133442
6115014201120124430
74442126646506136
oct501717621167202
986282613470560
1022121200021122
117059603793634
1225932a1166716
13c46035533427
1456695958b3c6
1528565335ad4c
hex141e7e44ee82

22121200021122 has 64 divisors (see below), whose sum is σ = 53031955772160. Its totient is φ = 6809041204992.

The previous prime is 22121200021121. The next prime is 22121200021133. The reversal of 22121200021122 is 22112000212122.

It is a happy number.

22121200021122 is a `hidden beast` number, since 221 + 212 + 0 + 0 + 0 + 211 + 22 = 666.

It is a super-2 number, since 2×221212000211222 (a number of 27 digits) contains 22 as substring.

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 = 22121200021095 and 22121200021104.

It is not an unprimeable number, because it can be changed into a prime (22121200021121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227283118 + ... + 227380425.

It is an arithmetic number, because the mean of its divisors is an integer number (828624308940).

Almost surely, 222121200021122 is an apocalyptic number.

22121200021122 is an abundant number, since it is smaller than the sum of its proper divisors (30910755751038).

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

22121200021122 is a wasteful number, since it uses less digits than its factorization.

22121200021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454663624 (or 454663618 counting only the distinct ones).

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

Adding to 22121200021122 its reverse (22112000212122), we get a palindrome (44233200233244).

The spelling of 22121200021122 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 102 106 153 159 306 318 459 477 901 918 954 1431 1802 2703 2862 5406 8109 16218 24327 48654 454663543 909327086 1363990629 2727981258 4091971887 7729280231 8183943774 12275915661 15458560462 23187840693 24097167779 24551831322 46375681386 48194335558 69563522079 72291503337 139127044158 144583006674 208690566237 216874510011 409651852243 417381132474 433749020022 650623530033 819303704486 1228955556729 1301247060066 2457911113458 3686866670187 7373733340374 11060600010561 22121200021122