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22121211212122 = 2113113233149841
BaseRepresentation
bin1010000011110011111101…
…11011111011000101011010
32220022202201020120220210111
411001321332323323011122
510344413220032241442
6115014202200034534
74442130143566021
oct501717673730532
986282636526714
1022121211212122
11705960a0375a0
1225932a4a62a4a
13c46037951119
1456695ac618b8
1528565431bb17
hex141e7eefb15a

22121211212122 has 16 divisors (see below), whose sum is σ = 36314739025344. Its totient is φ = 10022764504000.

The previous prime is 22121211212101. The next prime is 22121211212129.

22121211212122 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 = 22121211212093 and 22121211212102.

It is not an unprimeable number, because it can be changed into a prime (22121211212129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1616568079 + ... + 1616581762.

It is an arithmetic number, because the mean of its divisors is an integer number (2269671189084).

Almost surely, 222121211212122 is an apocalyptic number.

22121211212122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22121211212122 is a deficient number, since it is larger than the sum of its proper divisors (14193527813222).

22121211212122 is a wasteful number, since it uses less digits than its factorization.

22121211212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233150165.

The product of its digits is 256, while the sum is 22.

Multiplying 22121211212122 by its sum of digits (22), we get a palindrome (486666646666684).

It can be divided in two parts, 2212121 and 1212122, that added together give a palindrome (3424243).

The spelling of 22121211212122 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 311 622 3421 6842 3233149841 6466299682 35564648251 71129296502 1005509600551 2011019201102 11060605606061 22121211212122