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12010022100120 = 23351130729636813
BaseRepresentation
bin1010111011000100110100…
…0110011101110010011000
31120112010222002102112120210
42232301031012131302120
53033233011124200440
641313154502251120
72346460354321212
oct256611506356230
946463862375523
1012010022100120
113910470413a80
12141b758126aa0
13691703b47345
142d7406a555b2
1515c61cbe6a80
hexaec4d19dc98

12010022100120 has 128 divisors (see below), whose sum is σ = 39433559235840. Its totient is φ = 2902036631040.

The previous prime is 12010022100059. The next prime is 12010022100127. The reversal of 12010022100120 is 2100122001021.

12010022100120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12010022100096 and 12010022100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010022100127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14413167 + ... + 15223646.

It is an arithmetic number, because the mean of its divisors is an integer number (308074681530).

Almost surely, 212010022100120 is an apocalyptic number.

12010022100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010022100120 is an abundant number, since it is smaller than the sum of its proper divisors (27423537135720).

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

12010022100120 is a wasteful number, since it uses less digits than its factorization.

12010022100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29637145 (or 29637141 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12010022100120 its reverse (2100122001021), we get a palindrome (14110144101141).

Subtracting from 12010022100120 its reverse (2100122001021), we obtain a palindrome (9909900099099).

The spelling of 12010022100120 in words is "twelve trillion, ten billion, twenty-two million, one hundred 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 88 110 120 132 165 220 264 307 330 440 614 660 921 1228 1320 1535 1842 2456 3070 3377 3684 4605 6140 6754 7368 9210 10131 12280 13508 16885 18420 20262 27016 33770 36840 40524 50655 67540 81048 101310 135080 202620 405240 29636813 59273626 88910439 118547252 148184065 177820878 237094504 296368130 326004943 355641756 444552195 592736260 652009886 711283512 889104390 978014829 1185472520 1304019772 1630024715 1778208780 1956029658 2608039544 3260049430 3556417560 3912059316 4890074145 6520098860 7824118632 9098501591 9780148290 13040197720 18197003182 19560296580 27295504773 36394006364 39120593160 45492507955 54591009546 72788012728 90985015910 100083517501 109182019092 136477523865 181970031820 200167035002 218364038184 272955047730 300250552503 363940063640 400334070004 500417587505 545910095460 600501105006 800668140008 1000835175010 1091820190920 1201002210012 1501252762515 2001670350020 2402004420024 3002505525030 4003340700040 6005011050060 12010022100120