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12232122320 = 2451121399091
BaseRepresentation
bin10110110010001011…
…10101111111010000
31011120110220012022102
423121011311333100
5200022410403240
65341440455532
7612060216125
oct133105657720
934513805272
1012232122320
115207794600
12245461a5a8
1311cc287b02
148407a274c
154b8d22815
hex2d9175fd0

12232122320 has 120 divisors (see below), whose sum is σ = 31488505440. Its totient is φ = 4415558400.

The previous prime is 12232122311. The next prime is 12232122359. The reversal of 12232122320 is 2322123221.

It is a happy number.

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 = 12232122292 and 12232122301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1340975 + ... + 1350065.

It is an arithmetic number, because the mean of its divisors is an integer number (262404212).

Almost surely, 212232122320 is an apocalyptic number.

12232122320 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 12232122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744252720).

12232122320 is an abundant number, since it is smaller than the sum of its proper divisors (19256383120).

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

12232122320 is a wasteful number, since it uses less digits than its factorization.

12232122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9265 (or 9248 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

12232122320 divided by its sum of digits (20) gives a palindrome (611606116).

Adding to 12232122320 its reverse (2322123221), we get a palindrome (14554245541).

Subtracting from 12232122320 its reverse (2322123221), we obtain a palindrome (9909999099).

The spelling of 12232122320 in words is "twelve billion, two hundred thirty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 139 176 220 242 278 440 484 556 605 695 880 968 1112 1210 1390 1529 1936 2224 2420 2780 3058 4840 5560 6116 7645 9091 9680 11120 12232 15290 16819 18182 24464 30580 33638 36364 45455 61160 67276 72728 84095 90910 100001 122320 134552 145456 168190 181820 200002 269104 336380 363640 400004 500005 672760 727280 800008 1000010 1100011 1263649 1345520 1600016 2000020 2200022 2527298 4000040 4400044 5054596 5500055 6318245 8000080 8800088 10109192 11000110 12636490 13900139 17600176 20218384 22000220 25272980 27800278 44000440 50545960 55600556 69500695 88000880 101091920 111201112 139001390 152901529 222402224 278002780 305803058 556005560 611606116 764507645 1112011120 1223212232 1529015290 2446424464 3058030580 6116061160 12232122320