Search a number
-
+
1212332121 = 3271113373637
BaseRepresentation
bin100100001000010…
…1011100001011001
310010111012212000200
41020100223201121
54440324111441
6320144252413
742020436660
oct11020534131
93114185020
101212332121
1157236a080
1229a011109
131642216b0
14b701ddd7
15716747b6
hex4842b859

1212332121 has 96 divisors (see below), whose sum is σ = 2415399168. Its totient is φ = 565470720.

The previous prime is 1212332111. The next prime is 1212332137.

1212332121 is a `hidden beast` number, since 1 + 212 + 332 + 121 = 666.

1212332121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1212332121 - 25 = 1212332089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1212332094 and 1212332103.

It is not an unprimeable number, because it can be changed into a prime (1212332111) 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, 331515 + ... + 335151.

It is an arithmetic number, because the mean of its divisors is an integer number (25160408).

Almost surely, 21212332121 is an apocalyptic number.

1212332121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1212332121 is a deficient number, since it is larger than the sum of its proper divisors (1203067047).

1212332121 is a wasteful number, since it uses less digits than its factorization.

1212332121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3708 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1212332121 is about 34818.5600075592. The cubic root of 1212332121 is about 1066.2864016375.

It can be divided in two parts, 12123 and 32121, that added together give a palindrome (44244).

The spelling of 1212332121 in words is "one billion, two hundred twelve million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3637 3663 4329 5291 8547 9009 10101 10911 15873 25459 25641 30303 32733 37037 40007 47281 47619 76377 111111 120021 134569 141843 229131 280049 330967 333333 360063 403707 425529 520091 840147 941983 992901 1211121 1480259 1560273 1749397 2520441 2825949 2978703 3640637 4440777 4680819 5248191 8477847 10361813 10921911 12245779 13322331 15744573 19243367 31085439 32765733 36737337 57730101 93256317 110212011 134703569 173190303 404110707 1212332121