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22141120120 = 23574110211889
BaseRepresentation
bin10100100111101101…
…101010111001111000
32010011001102102212221
4110213231222321320
5330321111320440
614101013013424
71412451262420
oct244755527170
963131372787
1022141120120
1194320a3289
12435b024274
13211b162112
1411007d7480
15898c06d4a
hex527b6ae78

22141120120 has 128 divisors (see below), whose sum is σ = 58410979200. Its totient is φ = 7394918400.

The previous prime is 22141120117. The next prime is 22141120123. The reversal of 22141120120 is 2102114122.

It is an interprime number because it is at equal distance from previous prime (22141120117) and next prime (22141120123).

It is a junction number, because it is equal to n+sod(n) for n = 22141120094 and 22141120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22141120123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11720136 + ... + 11722024.

It is an arithmetic number, because the mean of its divisors is an integer number (456335775).

Almost surely, 222141120120 is an apocalyptic number.

22141120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22141120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29205489600).

22141120120 is an abundant number, since it is smaller than the sum of its proper divisors (36269859080).

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

22141120120 is a wasteful number, since it uses less digits than its factorization.

22141120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2965 counting only the distinct ones).

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

Adding to 22141120120 its reverse (2102114122), we get a palindrome (24243234242).

The spelling of 22141120120 in words is "twenty-two billion, one hundred forty-one million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1021 1148 1435 1640 1889 2042 2296 2870 3778 4084 5105 5740 7147 7556 8168 9445 10210 11480 13223 14294 15112 18890 20420 26446 28588 35735 37780 40840 41861 52892 57176 66115 71470 75560 77449 83722 105784 132230 142940 154898 167444 209305 264460 285880 293027 309796 334888 387245 418610 528920 542143 586054 619592 774490 837220 1084286 1172108 1465135 1548980 1674440 1928669 2168572 2344216 2710715 2930270 3097960 3857338 4337144 5421430 5860540 7714676 9643345 10842860 11721080 13500683 15429352 19286690 21685720 27001366 38573380 54002732 67503415 77146760 79075429 108005464 135006830 158150858 270013660 316301716 395377145 540027320 553528003 632603432 790754290 1107056006 1581508580 2214112012 2767640015 3163017160 4428224024 5535280030 11070560060 22141120120