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22120121113232 = 24172981110613259
BaseRepresentation
bin1010000011110001111011…
…11101100001101010010000
32220022122220021101011020112
411001320331331201222100
510344404002001110412
6115013502055300452
74442061136111112
oct501707575415220
986278807334215
1022120121113232
1170590aa77511a
12259303b97a728
13c45bc2b58cac
1456689617d3b2
152855dd78e722
hex141e3df61a90

22120121113232 has 160 divisors (see below), whose sum is σ = 47060181705600. Its totient is φ = 10025590579200.

The previous prime is 22120121113217. The next prime is 22120121113247. The reversal of 22120121113232 is 23231112102122.

It is an interprime number because it is at equal distance from previous prime (22120121113217) and next prime (22120121113247).

It is a junction number, because it is equal to n+sod(n) for n = 22120121113198 and 22120121113207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6787393619 + ... + 6787396877.

It is an arithmetic number, because the mean of its divisors is an integer number (294126135660).

Almost surely, 222120121113232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22120121113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23530090852800).

22120121113232 is an abundant number, since it is smaller than the sum of its proper divisors (24940060592368).

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

22120121113232 is a wasteful number, since it uses less digits than its factorization.

22120121113232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5179 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 22120121113232 its reverse (23231112102122), we get a palindrome (45351233215354).

The spelling of 22120121113232 in words is "twenty-two trillion, one hundred twenty billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 811 986 1061 1622 1972 2122 3244 3259 3944 4244 6488 6518 7888 8488 12976 13036 13787 16976 18037 23519 26072 27574 30769 36074 47038 52144 55148 55403 61538 72148 94076 94511 110296 110806 123076 144296 188152 189022 220592 221612 246152 288592 376304 378044 399823 443224 492304 523073 756088 799646 860471 886448 1046146 1512176 1599292 1606687 1720942 2092292 2643049 3198584 3213374 3441884 3457799 4184584 5286098 6397168 6426748 6883768 6915598 8369168 10572196 12853496 13767536 13831196 14628007 21144392 24953659 25706992 27662392 29256014 42288784 44931833 49907318 55324784 58512028 58782583 76648421 89863666 99814636 100276171 117024056 117565166 153296842 179727332 199629272 200552342 234048112 235130332 306593684 359454664 399258544 401104684 424212203 470260664 613187368 718909328 802209368 848424406 940521328 1226374736 1303023157 1604418736 1696848812 1704694907 2606046314 2804274989 3393697624 3409389814 5212092628 5608549978 6787395248 6818779628 10424185256 11217099956 13637559256 20848370512 22434199912 27275118512 44868399824 47672674813 81323974681 95345349626 162647949362 190690699252 325295898724 381381398504 650591797448 762762797008 1301183594896 1382507569577 2765015139154 5530030278308 11060060556616 22120121113232