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22000022122122 = 23211187159386009
BaseRepresentation
bin1010000000010010001111…
…00000001110111010001010
32212220011220100221021110200
411000021013200032322022
510340422021130401442
6114442400505153030
74430310025404642
oct500110740167212
985804810837420
1022000022122122
11701217aa48570
122573902a8b776
13c377932c2405
14560b41a29522
1528240ec8334c
hex14024780ee8a

22000022122122 has 48 divisors (see below), whose sum is σ = 52027845816960. Its totient is φ = 6663110097600.

The previous prime is 22000022122121. The next prime is 22000022122129. The reversal of 22000022122122 is 22122122000022.

22000022122122 is a `hidden beast` number, since 2 + 200 + 0 + 0 + 221 + 221 + 22 = 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 = 22000022122095 and 22000022122104.

It is not an unprimeable number, because it can be changed into a prime (22000022122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29322547 + ... + 30063462.

It is an arithmetic number, because the mean of its divisors is an integer number (1083913454520).

Almost surely, 222000022122122 is an apocalyptic number.

22000022122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22000022122122 is an abundant number, since it is smaller than the sum of its proper divisors (30027823694838).

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

22000022122122 is a wasteful number, since it uses less digits than its factorization.

22000022122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59387899 (or 59387896 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22000022122122 its reverse (22122122000022), we get a palindrome (44122144122144).

The spelling of 22000022122122 in words is "twenty-two trillion, twenty-two million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1871 3742 5613 11226 16839 20581 33678 41162 61743 123486 185229 370458 59386009 118772018 178158027 356316054 534474081 653246099 1068948162 1306492198 1959738297 3919476594 5879214891 11758429782 111111222839 222222445678 333333668517 666667337034 1000001005551 1222223451229 2000002011102 2444446902458 3666670353687 7333340707374 11000011061061 22000022122122