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12232020320 = 2551335916381
BaseRepresentation
bin10110110010001010…
…11101000101100000
31011120110201000101122
423121011131011200
5200022344122240
65341434351412
7612056312552
oct133105350540
934513630348
1012232020320
115207724a03
12245458b568
1311cc250560
148407774d2
154b8d024b5
hex2d915d160

12232020320 has 96 divisors (see below), whose sum is σ = 31209675840. Its totient is φ = 4503582720.

The previous prime is 12232020301. The next prime is 12232020349. The reversal of 12232020320 is 2302023221.

It is a super-2 number, since 2×122320203202 (a number of 21 digits) contains 22 as substring.

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, 738530 + ... + 754910.

It is an arithmetic number, because the mean of its divisors is an integer number (325100790).

Almost surely, 212232020320 is an apocalyptic number.

12232020320 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 12232020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604837920).

12232020320 is an abundant number, since it is smaller than the sum of its proper divisors (18977655520).

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

12232020320 is a wasteful number, since it uses less digits than its factorization.

12232020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16768 (or 16760 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 12232020320 its reverse (2302023221), we get a palindrome (14534043541).

The spelling of 12232020320 in words is "twelve billion, two hundred thirty-two million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 359 416 520 718 1040 1436 1795 2080 2872 3590 4667 5744 7180 9334 11488 14360 16381 18668 23335 28720 32762 37336 46670 57440 65524 74672 81905 93340 131048 149344 163810 186680 212953 262096 327620 373360 425906 524192 655240 746720 851812 1064765 1310480 1703624 2129530 2620960 3407248 4259060 5880779 6814496 8518120 11761558 17036240 23523116 29403895 34072480 47046232 58807790 76450127 94092464 117615580 152900254 188184928 235231160 305800508 382250635 470462320 611601016 764501270 940924640 1223202032 1529002540 2446404064 3058005080 6116010160 12232020320