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12042130404 = 22317298922871
BaseRepresentation
bin10110011011100010…
…00101001111100100
31011002020101121101210
423031301011033210
5144130241133104
65310532351420
7604262263623
oct131561051744
934066347353
1012042130404
11511a517897
122400a75570
13119bac5c65
148234676ba
154a72e3989
hex2cdc453e4

12042130404 has 96 divisors (see below), whose sum is σ = 31124217600. Its totient is φ = 3606507520.

The previous prime is 12042130393. The next prime is 12042130409. The reversal of 12042130404 is 40403124021.

12042130404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12042130409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515089 + ... + 537959.

It is an arithmetic number, because the mean of its divisors is an integer number (324210600).

Almost surely, 212042130404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042130404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15562108800).

12042130404 is an abundant number, since it is smaller than the sum of its proper divisors (19082087196).

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

12042130404 is a wasteful number, since it uses less digits than its factorization.

12042130404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23013 (or 23011 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12042130404 its reverse (40403124021), we get a palindrome (52445254425).

The spelling of 12042130404 in words is "twelve billion, forty-two million, one hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 89 102 116 174 178 204 267 348 356 493 534 986 1068 1479 1513 1972 2581 2958 3026 4539 5162 5916 6052 7743 9078 10324 15486 18156 22871 30972 43877 45742 68613 87754 91484 131631 137226 175508 263262 274452 388807 526524 663259 777614 1166421 1326518 1555228 1989777 2035519 2332842 2653036 3979554 4071038 4665684 6106557 7959108 8142076 11275403 12213114 22550806 24426228 33826209 34603823 45101612 59030051 67652418 69207646 103811469 118060102 135304836 138415292 177090153 207622938 236120204 354180306 415245876 708360612 1003510867 2007021734 3010532601 4014043468 6021065202 12042130404