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12332331340 = 2257317935969
BaseRepresentation
bin10110111110001000…
…00111000101001100
31011211110110100020121
423133010013011030
5200224034100330
65355420354324
7614415041530
oct133704070514
934743410217
1012332331340
11525930907a
1224820a59a4
131216c727a4
1484dc09bc0
154c2a1917a
hex2df10714c

12332331340 has 96 divisors (see below), whose sum is σ = 30939955200. Its totient is φ = 4039925760.

The previous prime is 12332331293. The next prime is 12332331359. The reversal of 12332331340 is 4313323321.

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, 324876 + ... + 360844.

It is an arithmetic number, because the mean of its divisors is an integer number (322291200).

Almost surely, 212332331340 is an apocalyptic number.

12332331340 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 12332331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15469977600).

12332331340 is an abundant number, since it is smaller than the sum of its proper divisors (18607623860).

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

12332331340 is a wasteful number, since it uses less digits than its factorization.

12332331340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36095 (or 36093 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 12332331340 its reverse (4313323321), we get a palindrome (16645654661).

The spelling of 12332331340 in words is "twelve billion, three hundred thirty-two million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 79 124 140 155 158 217 310 316 395 434 553 620 790 868 1085 1106 1580 2170 2212 2449 2765 4340 4898 5530 9796 11060 12245 17143 24490 34286 35969 48980 68572 71938 85715 143876 171430 179845 251783 342860 359690 503566 719380 1007132 1115039 1258915 2230078 2517830 2841551 4460156 5035660 5575195 5683102 7805273 11150390 11366204 14207755 15610546 19890857 22300780 28415510 31221092 39026365 39781714 56831020 78052730 79563428 88088081 99454285 156105460 176176162 198908570 352352324 397817140 440440405 616616567 880880810 1233233134 1761761620 2466466268 3083082835 6166165670 12332331340