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12201332210032 = 247232593490451
BaseRepresentation
bin1011000110001101100000…
…0100100111100101110000
31121012102202211011001220011
42301203120010213211300
53044401312021210112
641541114210024304
72366342246401540
oct261433004474560
947172684131804
1012201332210032
113984612a43129
121450849578094
136a6771a13904
143027949a7320
151625b82e8aa7
hexb18d8127970

12201332210032 has 120 divisors (see below), whose sum is σ = 28721672945280. Its totient is φ = 4917010876800.

The previous prime is 12201332210029. The next prime is 12201332210033. The reversal of 12201332210032 is 23001223310221.

It is a super-2 number, since 2×122013322100322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12201332209985 and 12201332210012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201332210033) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1750407 + ... + 5240857.

It is an arithmetic number, because the mean of its divisors is an integer number (239347274544).

Almost surely, 212201332210032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201332210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360836472640).

12201332210032 is an abundant number, since it is smaller than the sum of its proper divisors (16520340735248).

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

12201332210032 is a wasteful number, since it uses less digits than its factorization.

12201332210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490571 (or 3490542 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12201332210032 its reverse (23001223310221), we get a palindrome (35202555520253).

It can be divided in two parts, 12201 and 332210032, that added together give a palindrome (332222233).

The spelling of 12201332210032 in words is "twelve trillion, two hundred one billion, three hundred thirty-two million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 59 92 112 118 161 184 236 322 368 413 472 529 644 826 944 1058 1288 1357 1652 2116 2576 2714 3304 3703 4232 5428 6608 7406 8464 9499 10856 14812 18998 21712 29624 31211 37996 59248 62422 75992 124844 151984 218477 249688 436954 499376 873908 1747816 3490451 3495632 6980902 13961804 24433157 27923608 48866314 55847216 80280373 97732628 160560746 195465256 205936609 321121492 390930512 411873218 561962611 642242984 823746436 1123925222 1284485968 1441556263 1647492872 1846448579 2247850444 2883112526 3294985744 3692897158 4495700888 4736542007 5766225052 7385794316 8991401776 9473084014 11532450104 12925140053 14771588632 18946168028 23064900208 25850280106 29543177264 33155794049 37892336056 51700560212 66311588098 75784672112 103401120424 108940466161 132623176196 206802240848 217880932322 265246352392 435761864644 530492704784 762583263127 871523729288 1525166526254 1743047458576 3050333052508 6100666105016 12201332210032