Search a number
-
+
120212334 = 232113761269
BaseRepresentation
bin1110010101001…
…00101101101110
322101012102022200
413022210231232
5221233243314
615532322330
72656534164
oct712445556
9271172280
10120212334
1161947340
12343133a6
131bb9c778
1411d73234
15a848709
hex72a4b6e

120212334 has 96 divisors (see below), whose sum is σ = 297704160. Its totient is φ = 34732800.

The previous prime is 120212311. The next prime is 120212347. The reversal of 120212334 is 433212021.

120212334 is a `hidden beast` number, since 120 + 212 + 334 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446752 + ... + 447020.

It is an arithmetic number, because the mean of its divisors is an integer number (3101085).

Almost surely, 2120212334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120212334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148852080).

120212334 is an abundant number, since it is smaller than the sum of its proper divisors (177491826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120212334 is a wasteful number, since it uses less digits than its factorization.

120212334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120212334 is about 10964.1385434516. The cubic root of 120212334 is about 493.5331660406.

Adding to 120212334 its reverse (433212021), we get a palindrome (553424355).

The spelling of 120212334 in words is "one hundred twenty million, two hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 37 61 66 74 99 111 122 183 198 222 269 333 366 407 538 549 666 671 807 814 1098 1221 1342 1614 2013 2257 2421 2442 2959 3663 4026 4514 4842 5918 6039 6771 7326 8877 9953 12078 13542 16409 17754 19906 20313 24827 26631 29859 32818 40626 49227 49654 53262 59718 74481 89577 98454 109483 147681 148962 179154 180499 218966 223443 295362 328449 360998 446886 541497 607133 656898 985347 1082994 1214266 1624491 1821399 1970694 3248982 3642798 5464197 6678463 10928394 13356926 20035389 40070778 60106167 120212334