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22122100001221 = 116838273560471
BaseRepresentation
bin1010000011110101100111…
…11010011000100111000101
32220022212000012000002020021
411001322303322120213011
510344422030100014341
6115014430305535141
74442161155302623
oct501726372304705
986285005002207
1022122100001221
117059a25801a40
1225934b26444b1
13c46149b20a2c
14566a02d00513
152856a73819d1
hex141eb3e989c5

22122100001221 has 16 divisors (see below), whose sum is σ = 24197765257728. Its totient is φ = 20057266860400.

The previous prime is 22122100001179. The next prime is 22122100001233. The reversal of 22122100001221 is 12210000122122.

It is a happy number.

It is not a de Polignac number, because 22122100001221 - 217 = 22122099870149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22122100001195 and 22122100001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122100001321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4433016 + ... + 7993486.

It is an arithmetic number, because the mean of its divisors is an integer number (1512360328608).

Almost surely, 222122100001221 is an apocalyptic number.

It is an amenable number.

22122100001221 is a deficient number, since it is larger than the sum of its proper divisors (2075665256507).

22122100001221 is a wasteful number, since it uses less digits than its factorization.

22122100001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561992.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22122100001221 its reverse (12210000122122), we get a palindrome (34332100123343).

It can be divided in two parts, 22 and 122100001221, that multiplied together give a palindrome (2686200026862).

The spelling of 22122100001221 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred million, one thousand, two hundred twenty-one".

Divisors: 1 11 683 827 7513 9097 564841 3560471 6213251 39165181 2431801693 2944509517 26749818623 32389604687 2011100000111 22122100001221