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12321300040 = 2357475631663
BaseRepresentation
bin10110111100110100…
…00001111001001000
31011210200200220010221
423132122001321020
5200213223100130
65354344115424
7614222215360
oct133632017110
934720626127
1012321300040
1152530640a5
12247a465b74
1312148ac6aa
1484c5779a0
154c1a8a87a
hex2de681e48

12321300040 has 128 divisors (see below), whose sum is σ = 32434421760. Its totient is φ = 4124738304.

The previous prime is 12321300011. The next prime is 12321300041. The reversal of 12321300040 is 4000312321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12321299987 and 12321300023.

It is not an unprimeable number, because it can be changed into a prime (12321300041) 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, 7408249 + ... + 7409911.

It is an arithmetic number, because the mean of its divisors is an integer number (253393920).

Almost surely, 212321300040 is an apocalyptic number.

12321300040 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 12321300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217210880).

12321300040 is an abundant number, since it is smaller than the sum of its proper divisors (20113121720).

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

12321300040 is a wasteful number, since it uses less digits than its factorization.

12321300040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12321300040 its reverse (4000312321), we get a palindrome (16321612361).

The spelling of 12321300040 in words is "twelve billion, three hundred twenty-one million, three hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 563 658 940 1126 1316 1645 1663 1880 2252 2632 2815 3290 3326 3941 4504 5630 6580 6652 7882 8315 11260 11641 13160 13304 15764 16630 19705 22520 23282 26461 31528 33260 39410 46564 52922 58205 66520 78161 78820 93128 105844 116410 132305 156322 157640 185227 211688 232820 264610 312644 370454 390805 465640 529220 547127 625288 740908 781610 926135 936269 1058440 1094254 1481816 1563220 1852270 1872538 2188508 2735635 3126440 3704540 3745076 4377016 4681345 5471270 6553883 7409080 7490152 9362690 10942540 13107766 18725380 21885080 26215532 32769415 37450760 44004643 52431064 65538830 88009286 131077660 176018572 220023215 262155320 308032501 352037144 440046430 616065002 880092860 1232130004 1540162505 1760185720 2464260008 3080325010 6160650020 12321300040