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22112122222120 = 2357611294620739
BaseRepresentation
bin1010000011100011000010…
…01100001011011000101000
32220021220020211001101110011
411001301201030023120220
510344241111242101440
6115010100235301304
74441356000466630
oct501614114133050
986256224041404
1022112122222120
117055775594907
122591588baa834
13c45219913828
14566337ac36c0
152852c14129ea
hex141c6130b628

22112122222120 has 64 divisors (see below), whose sum is σ = 57791869833600. Its totient is φ = 7457015450880.

The previous prime is 22112122222087. The next prime is 22112122222123. The reversal of 22112122222120 is 2122222121122.

It is a junction number, because it is equal to n+sod(n) for n = 22112122222091 and 22112122222100.

It is not an unprimeable number, because it can be changed into a prime (22112122222123) 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 15 ways as a sum of consecutive naturals, for example, 647293290 + ... + 647327449.

It is an arithmetic number, because the mean of its divisors is an integer number (902997966150).

Almost surely, 222112122222120 is an apocalyptic number.

22112122222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112122222120 is an abundant number, since it is smaller than the sum of its proper divisors (35679747611480).

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

22112122222120 is a wasteful number, since it uses less digits than its factorization.

22112122222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294620818 (or 1294620814 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 22112122222120 its reverse (2122222121122), we get a palindrome (24234344343242).

The spelling of 22112122222120 in words is "twenty-two trillion, one hundred twelve billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 244 280 305 427 488 610 854 1220 1708 2135 2440 3416 4270 8540 17080 1294620739 2589241478 5178482956 6473103695 9062345173 10356965912 12946207390 18124690346 25892414780 36249380692 45311725865 51784829560 72498761384 78971865079 90623451730 157943730158 181246903460 315887460316 362493806920 394859325395 552803055553 631774920632 789718650790 1105606111106 1579437301580 2211212222212 2764015277765 3158874603160 4422424444424 5528030555530 11056061111060 22112122222120