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22202001121122 = 2324573322381239
BaseRepresentation
bin1010000110001010011100…
…11000111101111101100010
32220121111020122001112020100
411003011032120331331202
510402224144241333442
6115115243012123230
74451020166515224
oct503051630757542
986544218045210
1022202001121122
11708a8a7911a29
1225a6a91306516
13c508416149c4
1456a82289a414
152877d1d1c84c
hex14314e63df62

22202001121122 has 48 divisors (see below), whose sum is σ = 48211641429120. Its totient is φ = 7384159855296.

The previous prime is 22202001121121. The next prime is 22202001121177. The reversal of 22202001121122 is 22112110020222.

It is a happy number.

22202001121122 is a `hidden beast` number, since 2 + 220 + 200 + 1 + 121 + 122 = 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 = 22202001121095 and 22202001121104.

It is not an unprimeable number, because it can be changed into a prime (22202001121121) 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 23 ways as a sum of consecutive naturals, for example, 273251779 + ... + 273333017.

It is an arithmetic number, because the mean of its divisors is an integer number (1004409196440).

Almost surely, 222202001121122 is an apocalyptic number.

22202001121122 is an abundant number, since it is smaller than the sum of its proper divisors (26009640307998).

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

22202001121122 is a wasteful number, since it uses less digits than its factorization.

22202001121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114927 (or 114924 counting only the distinct ones).

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

Adding to 22202001121122 its reverse (22112110020222), we get a palindrome (44314111141344).

The spelling of 22202001121122 in words is "twenty-two trillion, two hundred two billion, one million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 457 914 1371 2742 4113 8226 33223 66446 81239 99669 162478 199338 243717 299007 487434 598014 731151 1462302 15182911 30365822 37126223 45548733 74252446 91097466 111378669 136646199 222757338 273292398 334136007 668272014 2699003297 5398006594 8097009891 16194019782 24291029673 48582059346 1233444506729 2466889013458 3700333520187 7400667040374 11101000560561 22202001121122