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12213051441201 = 3313297173231493
BaseRepresentation
bin1011000110111001001010…
…0101111100000000110001
31121020120000112221200211000
42301232102211330000301
53100044312132104301
641550333125512213
72400235541253342
oct261562245740061
947216015850730
1012213051441201
113989587165a46
121452b7a272669
136a78bb951b20
143031871ba0c9
15162a520a8786
hexb1b9297c031

12213051441201 has 128 divisors (see below), whose sum is σ = 20721120537600. Its totient is φ = 7056320624640.

The previous prime is 12213051441167. The next prime is 12213051441281. The reversal of 12213051441201 is 10214415031221.

12213051441201 is a `hidden beast` number, since 1 + 2 + 2 + 13 + 0 + 5 + 1 + 441 + 201 = 666.

It is not a de Polignac number, because 12213051441201 - 215 = 12213051408433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12213051441281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52642011 + ... + 52873503.

It is an arithmetic number, because the mean of its divisors is an integer number (161883754200).

Almost surely, 212213051441201 is an apocalyptic number.

It is an amenable number.

12213051441201 is a deficient number, since it is larger than the sum of its proper divisors (8508069096399).

12213051441201 is a wasteful number, since it uses less digits than its factorization.

12213051441201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231688 (or 231682 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 12213051441201 its reverse (10214415031221), we get a palindrome (22427466472422).

The spelling of 12213051441201 in words is "twelve trillion, two hundred thirteen billion, fifty-one million, four hundred forty-one thousand, two hundred one".

Divisors: 1 3 9 13 27 29 39 71 73 87 117 213 219 261 351 377 639 657 783 923 949 1131 1917 1971 2059 2117 2769 2847 3393 5183 6177 6351 8307 8541 10179 15549 18531 19053 24921 25623 26767 27521 46647 55593 57159 67379 80301 82563 139941 150307 202137 231493 240903 247689 450921 606411 694479 722709 743067 1352763 1819233 1953991 2083437 3009409 4058289 5861973 6250311 6713297 9028227 16436003 16898989 17585919 20139891 27084681 49308009 50696967 52757757 60419673 81254043 87272861 147924027 152090901 181259019 213668039 219686857 261818583 443772081 456272703 476644087 490070681 641004117 659060571 785455749 1199828219 1429932261 1470212043 1923012351 1977181713 2356367247 3599484657 4289796783 4410636129 5769037053 5931545139 6196373131 6370918853 10798453971 12869390349 13231908387 15597766847 18589119393 19112756559 32395361913 34795018351 46793300541 55767358179 57338269677 104385055053 140379901623 167302074537 172014809031 313155165159 421139704869 452335238563 939465495477 1357005715689 4071017147067 12213051441201