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12121001100221 = 1331134093224299
BaseRepresentation
bin1011000001100010001111…
…1101110000001110111101
31120220202102101222212121212
42300120203331300032331
53042042302240201341
641440151103334205
72360466464260316
oct260304375601675
946822371885555
1012121001100221
113953540144382
12143916a8b1365
1369c00c10ab40
142dc933c7b60d
15160465c235eb
hexb0623f703bd

12121001100221 has 16 divisors (see below), whose sum is σ = 13474623321600. Its totient is φ = 10827564269760.

The previous prime is 12121001100217. The next prime is 12121001100227. The reversal of 12121001100221 is 12200110012121.

It is a cyclic number.

It is not a de Polignac number, because 12121001100221 - 22 = 12121001100217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12121001100196 and 12121001100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121001100227) 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 15 ways as a sum of consecutive naturals, for example, 53927330 + ... + 54151628.

It is an arithmetic number, because the mean of its divisors is an integer number (842163957600).

Almost surely, 212121001100221 is an apocalyptic number.

It is an amenable number.

12121001100221 is a deficient number, since it is larger than the sum of its proper divisors (1353622221379).

12121001100221 is a wasteful number, since it uses less digits than its factorization.

12121001100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358436.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12121001100221 its reverse (12200110012121), we get a palindrome (24321111112342).

The spelling of 12121001100221 in words is "twelve trillion, one hundred twenty-one billion, one million, one hundred thousand, two hundred twenty-one".

Divisors: 1 13 31 403 134093 224299 1743209 2915887 4156883 6953269 54039479 90392497 30076925807 391000035491 932384700017 12121001100221