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12212010121122 = 2327627715440611
BaseRepresentation
bin1011000110110101010010…
…0001100111011110100010
31121020110022222112011012200
42301231110201213132202
53100040144042333442
641550041530434030
72400200665215630
oct261552441473642
947213288464180
1012212010121122
1139890a238a839
121452929592916
136a7783ca82b6
143030c8b94350
151629e096434c
hexb1b548677a2

12212010121122 has 48 divisors (see below), whose sum is σ = 30244082586432. Its totient is φ = 3488589660960.

The previous prime is 12212010121043. The next prime is 12212010121141. The reversal of 12212010121122 is 22112101021221.

12212010121122 is a `hidden beast` number, since 1 + 221 + 201 + 0 + 121 + 122 = 666.

12212010121122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122120101211222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12212010121095 and 12212010121104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6929404 + ... + 8511207.

It is an arithmetic number, because the mean of its divisors is an integer number (630085053884).

Almost surely, 212212010121122 is an apocalyptic number.

12212010121122 is an abundant number, since it is smaller than the sum of its proper divisors (18032072465310).

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

12212010121122 is a wasteful number, since it uses less digits than its factorization.

12212010121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15446903 (or 15446900 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12212010121122 its reverse (22112101021221), we get a palindrome (34324111142343).

Subtracting 12212010121122 from its reverse (22112101021221), we obtain a palindrome (9900090900099).

The spelling of 12212010121122 in words is "twelve trillion, two hundred twelve billion, ten million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 6277 12554 18831 37662 43939 56493 87878 112986 131817 263634 395451 790902 15440611 30881222 46321833 92643666 108084277 138965499 216168554 277930998 324252831 648505662 972758493 1945516986 96920715247 193841430494 290762145741 581524291482 678445006729 872286437223 1356890013458 1744572874446 2035335020187 4070670040374 6106005060561 12212010121122