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12232322322 = 23111929379091
BaseRepresentation
bin10110110010001101…
…00110110100010010
31011120111021100122220
423121012212310102
5200022433303242
65341445041510
7612062011203
oct133106466422
934514240586
1012232322322
1152079108a0
1224546b6296
1311cc327b5c
148408155aa
154b8d61bec
hex2d91a6d12

12232322322 has 128 divisors (see below), whose sum is σ = 29850854400. Its totient is φ = 3298579200.

The previous prime is 12232322321. The next prime is 12232322357. The reversal of 12232322322 is 22322323221.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12232322292 and 12232322301.

It is not an unprimeable number, because it can be changed into a prime (12232322321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1340997 + ... + 1350087.

It is an arithmetic number, because the mean of its divisors is an integer number (233209800).

Almost surely, 212232322322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12232322322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925427200).

12232322322 is an abundant number, since it is smaller than the sum of its proper divisors (17618532078).

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

12232322322 is a wasteful number, since it uses less digits than its factorization.

12232322322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9192.

The product of its digits is 3456, while the sum is 24.

Adding to 12232322322 its reverse (22322323221), we get a palindrome (34554645543).

The spelling of 12232322322 in words is "twelve billion, two hundred thirty-two million, three hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 29 33 37 38 57 58 66 74 87 111 114 174 209 222 319 407 418 551 627 638 703 814 957 1073 1102 1221 1254 1406 1653 1914 2109 2146 2442 3219 3306 4218 6061 6438 7733 9091 11803 12122 15466 18182 18183 20387 23199 23606 27273 35409 36366 40774 46398 54546 61161 70818 100001 122322 172729 200002 224257 263639 300003 336367 345458 448514 518187 527278 600006 672734 672771 790917 1009101 1036374 1345542 1581834 1900019 2018202 2900029 3700037 3800038 5009141 5700057 5800058 6390973 7400074 8700087 9754643 10018282 11100111 11400114 12781946 15027423 17400174 19172919 19509286 22200222 29263929 30054846 38345838 55100551 58527858 70300703 107301073 110201102 140601406 165301653 185338217 210902109 214602146 321903219 330603306 370676434 421804218 556014651 643806438 1112029302 2038720387 4077440774 6116161161 12232322322