Search a number
-
+
1201112221221 = 351115116691783
BaseRepresentation
bin10001011110100111110…
…111100000011000100101
311020211021120112210200000
4101132213313200120211
5124134334212034341
62315441111211513
7152530452266343
oct21364767403045
94224246483600
101201112221221
11423430599390
1217494a076b99
1389358b57283
14421c4128993
152139c6878b6
hex117a7de0625

1201112221221 has 96 divisors (see below), whose sum is σ = 1978051246080. Its totient is φ = 722287368000.

The previous prime is 1201112221219. The next prime is 1201112221237. The reversal of 1201112221221 is 1221222111021.

It is not a de Polignac number, because 1201112221221 - 21 = 1201112221219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201112221194 and 1201112221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201112221261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 673645896 + ... + 673647678.

It is an arithmetic number, because the mean of its divisors is an integer number (20604700480).

Almost surely, 21201112221221 is an apocalyptic number.

1201112221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1201112221221 is a deficient number, since it is larger than the sum of its proper divisors (776939024859).

1201112221221 is a wasteful number, since it uses less digits than its factorization.

1201112221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1201112221221 its reverse (1221222111021), we get a palindrome (2422334332242).

The spelling of 1201112221221 in words is "one trillion, two hundred one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 151 243 297 453 891 1359 1661 1669 1783 2673 4077 4983 5007 5349 12231 14949 15021 16047 18359 19613 36693 44847 45063 48141 55077 58839 134541 135189 144423 165231 176517 252019 269233 403623 405567 433269 495693 529551 756057 807699 1487079 1588653 2268171 2423097 2772209 2961563 2975827 4461237 4765959 6804513 7269291 8316627 8884689 8927481 20413539 21807873 24949881 26654067 26782443 32734097 61240617 65423619 74849643 79962201 80347329 98202291 224548929 239886603 241041987 294606873 449349877 673646787 719659809 723125961 883820619 1348049631 2651461857 4044148893 4942848647 7954385571 12132446679 14828545941 36397340037 44485637823 109192020111 133456913469 400370740407 1201112221221