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12322452120 = 23351113171261
BaseRepresentation
bin10110111100111100…
…11011001010011000
31011210202212102111120
423132132123022120
5200214021431440
65354424525240
7614235054246
oct133636331230
934722772446
1012322452120
115253780730
12247a920820
131214bc3bb4
1484c797796
154c1c16dd0
hex2de79b298

12322452120 has 128 divisors (see below), whose sum is σ = 40636442880. Its totient is φ = 2964416000.

The previous prime is 12322452119. The next prime is 12322452143. The reversal of 12322452120 is 2125422321.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 137290 + ... + 208550.

It is an arithmetic number, because the mean of its divisors is an integer number (317472210).

Almost surely, 212322452120 is an apocalyptic number.

12322452120 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 12322452120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20318221440).

12322452120 is an abundant number, since it is smaller than the sum of its proper divisors (28313990760).

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

12322452120 is a wasteful number, since it uses less digits than its factorization.

12322452120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71417 (or 71413 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12322452120 its reverse (2125422321), we get a palindrome (14447874441).

The spelling of 12322452120 in words is "twelve billion, three hundred twenty-two million, four hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 131 132 165 220 262 264 330 393 440 524 655 660 786 1048 1310 1320 1441 1572 1965 2620 2882 3144 3930 4323 5240 5764 7205 7860 8646 11528 14410 15720 17292 21615 28820 34584 43230 57640 71261 86460 142522 172920 213783 285044 356305 427566 570088 712610 783871 855132 1068915 1425220 1567742 1710264 2137830 2351613 2850440 3135484 3919355 4275660 4703226 6270968 7838710 8551320 9335191 9406452 11758065 15677420 18670382 18812904 23516130 28005573 31354840 37340764 46675955 47032260 56011146 74681528 93351910 94064520 102687101 112022292 140027865 186703820 205374202 224044584 280055730 308061303 373407640 410748404 513435505 560111460 616122606 821496808 1026871010 1120222920 1232245212 1540306515 2053742020 2464490424 3080613030 4107484040 6161226060 12322452120