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12133121233341 = 347598919982349
BaseRepresentation
bin1011000010001111011001…
…1000011001000110111101
31120221220201002011102122010
42300203312120121012331
53042242113013431331
641445513504041433
72361406024561353
oct260436630310675
946856632142563
1012133121233341
11395869a698819
12143b591903279
136a01c1115044
142dd36380b7d3
15160924cc3e46
hexb08f66191bd

12133121233341 has 64 divisors (see below), whose sum is σ = 17076096000000. Its totient is φ = 7656261161472.

The previous prime is 12133121233333. The next prime is 12133121233351. The reversal of 12133121233341 is 14333212133121.

12133121233341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12133121233341 - 23 = 12133121233333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12133121233299 and 12133121233308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133121233351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147296635 + ... + 147378983.

It is an arithmetic number, because the mean of its divisors is an integer number (266814000000).

Almost surely, 212133121233341 is an apocalyptic number.

It is an amenable number.

12133121233341 is a deficient number, since it is larger than the sum of its proper divisors (4942974766659).

12133121233341 is a wasteful number, since it uses less digits than its factorization.

12133121233341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82746.

The product of its digits is 7776, while the sum is 30.

Adding to 12133121233341 its reverse (14333212133121), we get a palindrome (26466333366462).

The spelling of 12133121233341 in words is "twelve trillion, one hundred thirty-three billion, one hundred twenty-one million, two hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 3 47 59 89 141 177 199 267 597 2773 4183 5251 8319 9353 11741 12549 15753 17711 28059 35223 53133 82349 246797 247047 551827 740391 832417 1044949 1655481 2497251 3134847 3870403 4858591 7329061 11611209 14575773 16387451 21987183 49112603 49162353 147337809 228353777 344465867 432414599 685061331 770210197 966859609 1033397601 1297243797 1458483139 2310630591 2900578827 4375449417 20323486153 45442401623 60970458459 68548707533 86050505201 136327204869 205646122599 258151515603 4044373744447 12133121233341