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12322100120 = 23511971032803
BaseRepresentation
bin10110111100111010…
…00101001110011000
31011210202012112122112
423132131011032120
5200213424200440
65354413211452
7614232060101
oct133635051630
934722175575
1012322100120
115253560220
12247a790b88
131214acc905
1484c7053a8
154c1b97965
hex2de745398

12322100120 has 128 divisors (see below), whose sum is σ = 30864637440. Its totient is φ = 4389949440.

The previous prime is 12322100113. The next prime is 12322100149. The reversal of 12322100120 is 2100122321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12322100095 and 12322100104.

It is a congruent number.

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, 4394639 + ... + 4397441.

It is an arithmetic number, because the mean of its divisors is an integer number (241129980).

Almost surely, 212322100120 is an apocalyptic number.

12322100120 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 12322100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15432318720).

12322100120 is an abundant number, since it is smaller than the sum of its proper divisors (18542537320).

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

12322100120 is a wasteful number, since it uses less digits than its factorization.

12322100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12322100120 its reverse (2100122321), we get a palindrome (14422222441).

The spelling of 12322100120 in words is "twelve billion, three hundred twenty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 103 110 194 206 220 388 412 440 485 515 776 824 970 1030 1067 1133 1940 2060 2134 2266 2803 3880 4120 4268 4532 5335 5606 5665 8536 9064 9991 10670 11212 11330 14015 19982 21340 22424 22660 28030 30833 39964 42680 45320 49955 56060 61666 79928 99910 109901 112120 123332 154165 199820 219802 246664 271891 288709 308330 399640 439604 543782 549505 577418 616660 879208 1087564 1099010 1154836 1233320 1359455 1443545 2175128 2198020 2309672 2718910 2887090 2990801 3175799 4396040 5437820 5774180 5981602 6351598 10875640 11548360 11963204 12703196 14954005 15878995 23926408 25406392 28004773 29908010 31757990 56009546 59816020 63515980 112019092 119632040 127031960 140023865 224038184 280047730 308052503 560095460 616105006 1120190920 1232210012 1540262515 2464420024 3080525030 6161050060 12322100120