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22121111112122 = 2116471554103633
BaseRepresentation
bin1010000011110011110001…
…11110000100100110111010
32220022202110021020022102002
411001321320332010212322
510344413013421041442
6115014144222341002
74442124520006211
oct501717076044672
986282407208362
1022121111112122
117059568587a20
12259327742a762
13c4601cca3c59
1456694b846078
1528564a647732
hex141e78f849ba

22121111112122 has 16 divisors (see below), whose sum is σ = 36254129573952. Its totient is φ = 10039509462720.

The previous prime is 22121111112109. The next prime is 22121111112137.

It is a happy number.

22121111112122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22121111112094 and 22121111112103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 777037583 + ... + 777066050.

It is an arithmetic number, because the mean of its divisors is an integer number (2265883098372).

Almost surely, 222121111112122 is an apocalyptic number.

22121111112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22121111112122 is a deficient number, since it is larger than the sum of its proper divisors (14133018461830).

22121111112122 is a wasteful number, since it uses less digits than its factorization.

22121111112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554104293.

The product of its digits is 64, while the sum is 20.

It can be divided in two parts, 2212111 and 1112122, that added together give a palindrome (3324233).

The spelling of 22121111112122 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 647 1294 7117 14234 1554103633 3108207266 17095139963 34190279926 1005505050551 2011010101102 11060555556061 22121111112122