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12201210121023 = 3371133717414801
BaseRepresentation
bin1011000110001101000011…
…0010111000101100111111
31121012102110022102022021000
42301203100302320230333
53044401034242333043
641541054125141343
72366336234560110
oct261432062705477
947172408368230
1012201210121023
113984560034920
1214508146ba853
136a6752637bb1
143027826a6207
151625ac72e2d3
hexb18d0cb8b3f

12201210121023 has 64 divisors (see below), whose sum is σ = 22603019811840. Its totient is φ = 6319482624000.

The previous prime is 12201210121019. The next prime is 12201210121033. The reversal of 12201210121023 is 32012101210221.

12201210121023 is a `hidden beast` number, since 1 + 220 + 1 + 210 + 1 + 210 + 23 = 666.

It is not a de Polignac number, because 12201210121023 - 22 = 12201210121019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201210120987 and 12201210121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201210121033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8006778 + ... + 9408023.

It is an arithmetic number, because the mean of its divisors is an integer number (353172184560).

Almost surely, 212201210121023 is an apocalyptic number.

12201210121023 is a deficient number, since it is larger than the sum of its proper divisors (10401809690817).

12201210121023 is a wasteful number, since it uses less digits than its factorization.

12201210121023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17415165 (or 17415159 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12201210121023 its reverse (32012101210221), we get a palindrome (44213311331244).

The spelling of 12201210121023 in words is "twelve trillion, two hundred one billion, two hundred ten million, one hundred twenty-one thousand, twenty-three".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 337 693 1011 2079 2359 3033 3707 7077 9099 11121 21231 25949 33363 63693 77847 100089 233541 700623 17414801 52244403 121903607 156733209 191562811 365710821 470199627 574688433 1097132463 1340939677 1724065299 3291397389 4022819031 5172195897 5868787937 12068457093 17606363811 36205371279 41081515559 52819091433 64556667307 123244546677 158457274299 193670001921 369733640031 451896671149 581010005763 1109200920093 1355690013447 1743030017289 4067070040341 12201210121023