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22121144112122 = 21110923933854923
BaseRepresentation
bin1010000011110011110101…
…11011111101001111111010
32220022202112120022212220022
411001321322323331033322
510344413100343041442
6115014151401530442
74442125400341136
oct501717273751772
986282476285808
1022121144112122
117059585177350
1225932864a3a22
13c46026a89593
14566951d963c6
1528564d4b53d2
hex141e7aefd3fa

22121144112122 has 32 divisors (see below), whose sum is σ = 36545604701760. Its totient is φ = 9958651297920.

The previous prime is 22121144112121. The next prime is 22121144112209.

22121144112122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22121144112091 and 22121144112100.

It is not an unprimeable number, because it can be changed into a prime (22121144112121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3810953 + ... + 7665875.

It is an arithmetic number, because the mean of its divisors is an integer number (1142050146930).

Almost surely, 222121144112122 is an apocalyptic number.

22121144112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22121144112122 is a deficient number, since it is larger than the sum of its proper divisors (14424460589638).

22121144112122 is a wasteful number, since it uses less digits than its factorization.

22121144112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857438.

The product of its digits is 1024, while the sum is 26.

It can be divided in two parts, 2212114 and 4112122, that added together give a palindrome (6324236).

The spelling of 22121144112122 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred forty-four million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 11 22 109 218 1199 2393 2398 4786 26323 52646 260837 521674 2869207 3854923 5738414 7709846 42404153 84808306 420186607 840373214 4622052677 9224830739 9244105354 18449661478 101473138129 202946276258 1005506550551 2011013101102 11060572056061 22121144112122