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12434434012 = 22711134372221
BaseRepresentation
bin10111001010010011…
…00110011111011100
31012002120120200210001
423211021212133130
5200431203342022
65413505024044
7620064642130
oct134511463734
935076520701
1012434434012
115300a06350
1224b0325024
131232171380
1485d5c73c0
154cb986b27
hex2e52667dc

12434434012 has 96 divisors (see below), whose sum is σ = 29896441344. Its totient is φ = 4367865600.

The previous prime is 12434434003. The next prime is 12434434057. The reversal of 12434434012 is 21043443421.

It is a super-2 number, since 2×124344340122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136062 + ... + 208282.

It is an arithmetic number, because the mean of its divisors is an integer number (311421264).

Almost surely, 212434434012 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 12434434012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948220672).

12434434012 is an abundant number, since it is smaller than the sum of its proper divisors (17462007332).

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

12434434012 is a wasteful number, since it uses less digits than its factorization.

12434434012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72299 (or 72297 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12434434012 its reverse (21043443421), we get a palindrome (33477877433).

The spelling of 12434434012 in words is "twelve billion, four hundred thirty-four million, four hundred thirty-four thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 43 44 52 77 86 91 143 154 172 182 286 301 308 364 473 559 572 602 946 1001 1118 1204 1892 2002 2236 3311 3913 4004 6149 6622 7826 12298 13244 15652 24596 43043 72221 86086 144442 172172 288884 505547 794431 938873 1011094 1588862 1877746 2022188 3105503 3177724 3755492 5561017 6211006 6572111 10327603 11122034 12422012 13144222 20655206 21738521 22244068 26288444 34160533 40371539 41310412 43477042 68321066 72293221 80743078 86954084 136642132 144586442 161486156 239123731 282600773 289172884 444086929 478247462 565201546 888173858 956494924 1130403092 1776347716 3108608503 6217217006 12434434012