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12000012122120 = 2351195328617791
BaseRepresentation
bin1010111010011111100001…
…1101011011100000001000
31120111012010110212222012212
42232213320131123200020
53033102011100401440
641304421321524252
72345654326030661
oct256477035334010
946435113788185
1012000012122120
1139071a4004390
121419823943688
1369079a075339
142d6b37456368
1515c234017465
hexae9f875b808

12000012122120 has 64 divisors (see below), whose sum is σ = 29485483453440. Its totient is φ = 4359061772800.

The previous prime is 12000012122101. The next prime is 12000012122143. The reversal of 12000012122120 is 2122121000021.

12000012122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12000012122095 and 12000012122104.

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, 13889576 + ... + 14728215.

It is an arithmetic number, because the mean of its divisors is an integer number (460710678960).

Almost surely, 212000012122120 is an apocalyptic number.

12000012122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000012122120 is an abundant number, since it is smaller than the sum of its proper divisors (17485471331320).

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

12000012122120 is a wasteful number, since it uses less digits than its factorization.

12000012122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28618766 (or 28618762 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12000012122120 its reverse (2122121000021), we get a palindrome (14122133122141).

The spelling of 12000012122120 in words is "twelve trillion, twelve million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 953 1906 3812 4765 7624 9530 10483 19060 20966 38120 41932 52415 83864 104830 209660 419320 28617791 57235582 114471164 143088955 228942328 286177910 314795701 572355820 629591402 1144711640 1259182804 1573978505 2518365608 3147957010 6295914020 12591828040 27272754823 54545509646 109091019292 136363774115 218182038584 272727548230 300000303053 545455096460 600000606106 1090910192920 1200001212212 1500001515265 2400002424424 3000003030530 6000006061060 12000012122120