Search a number
-
+
12022334040 = 23351719932957
BaseRepresentation
bin10110011001001011…
…00100001001011000
31011000212010211220010
423030211210021120
5144110204142130
65304544201520
7603632103363
oct131445441130
934025124803
1012022334040
11510a326562
1223b63092a0
131197984432
148209930da
154a56d30b0
hex2cc964258

12022334040 has 128 divisors (see below), whose sum is σ = 38220672960. Its totient is φ = 3014836224.

The previous prime is 12022334029. The next prime is 12022334053. The reversal of 12022334040 is 4043322021.

It is a junction number, because it is equal to n+sod(n) for n = 12022333998 and 12022334016.

It is a congruent number.

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, 4064242 + ... + 4067198.

Almost surely, 212022334040 is an apocalyptic number.

12022334040 is a gapful number since it is divisible by the number (10) 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 12022334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19110336480).

12022334040 is an abundant number, since it is smaller than the sum of its proper divisors (26198338920).

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

12022334040 is a wasteful number, since it uses less digits than its factorization.

12022334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12022334040 its reverse (4043322021), we get a palindrome (16065656061).

The spelling of 12022334040 in words is "twelve billion, twenty-two million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1993 2040 2957 3986 5914 5979 7972 8871 9965 11828 11958 14785 15944 17742 19930 23656 23916 29570 29895 33881 35484 39860 44355 47832 50269 59140 59790 67762 70968 79720 88710 100538 101643 118280 119580 135524 150807 169405 177420 201076 203286 239160 251345 271048 301614 338810 354840 402152 406572 502690 508215 603228 677620 754035 813144 1005380 1016430 1206456 1355240 1508070 2010760 2032860 3016140 4065720 5893301 6032280 11786602 17679903 23573204 29466505 35359806 47146408 58933010 70719612 88399515 100186117 117866020 141439224 176799030 200372234 235732040 300558351 353598060 400744468 500930585 601116702 707196120 801488936 1001861170 1202233404 1502791755 2003722340 2404466808 3005583510 4007444680 6011167020 12022334040