Search a number
-
+
12121434 = 2331331557
BaseRepresentation
bin101110001111…
…010101011010
3211210211111000
4232033111122
511100341214
61111445430
7205013313
oct56172532
924724430
1012121434
11692a016
124086876
132685360
14187760a
1510e6809
hexb8f55a

12121434 has 64 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 3602880.

The previous prime is 12121427. The next prime is 12121451. The reversal of 12121434 is 43412121.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21484 + ... + 22040.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 212121434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12121434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

12121434 is an abundant number, since it is smaller than the sum of its proper divisors (17876646).

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

12121434 is a wasteful number, since it uses less digits than its factorization.

12121434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 12121434 is about 3481.5849838831. The cubic root of 12121434 is about 229.7125204730.

Adding to 12121434 its reverse (43412121), we get a palindrome (55533555).

The spelling of 12121434 in words is "twelve million, one hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 117 186 234 279 351 403 557 558 702 806 837 1114 1209 1671 1674 2418 3342 3627 5013 7241 7254 10026 10881 14482 15039 17267 21723 21762 30078 34534 43446 51801 65169 103602 130338 155403 195507 224471 310806 391014 448942 466209 673413 932418 1346826 2020239 4040478 6060717 12121434