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12333012320 = 255437922691
BaseRepresentation
bin10110111110001101…
…01101010101100000
31011211111201221101002
423133012231111200
5200224222343240
65355443131132
7614423606066
oct133706552540
934744657332
1012333012320
115259733772
122482373aa8
131217150735
1484dd46036
154c2b00d15
hex2df1ad560

12333012320 has 96 divisors (see below), whose sum is σ = 30193067520. Its totient is φ = 4757276160.

The previous prime is 12333012319. The next prime is 12333012331. The reversal of 12333012320 is 2321033321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12333012292 and 12333012301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532175 + ... + 554865.

It is an arithmetic number, because the mean of its divisors is an integer number (314511120).

Almost surely, 212333012320 is an apocalyptic number.

12333012320 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 12333012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15096533760).

12333012320 is an abundant number, since it is smaller than the sum of its proper divisors (17860055200).

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

12333012320 is a wasteful number, since it uses less digits than its factorization.

12333012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22828 (or 22820 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12333012320 its reverse (2321033321), we get a palindrome (14654045641).

The spelling of 12333012320 in words is "twelve billion, three hundred thirty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 79 80 86 158 160 172 215 316 344 395 430 632 688 790 860 1264 1376 1580 1720 2528 3160 3397 3440 6320 6794 6880 12640 13588 16985 22691 27176 33970 45382 54352 67940 90764 108704 113455 135880 181528 226910 271760 363056 453820 543520 726112 907640 975713 1792589 1815280 1951426 3585178 3630560 3902852 4878565 7170356 7805704 8962945 9757130 14340712 15611408 17925890 19514260 28681424 31222816 35851780 39028520 57362848 71703560 77081327 78057040 143407120 154162654 156114080 286814240 308325308 385406635 616650616 770813270 1233301232 1541626540 2466602464 3083253080 6166506160 12333012320