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12321024012 = 223211191637563
BaseRepresentation
bin10110111100110001…
…11110100000001100
31011210200011212111200
423132120332200030
5200213140232022
65354334145500
7614216655543
oct133630764014
934720155450
1012321024012
115252995780
12247a352290
131214813b6b
1484c50515a
154c1a33bac
hex2de63e80c

12321024012 has 72 divisors (see below), whose sum is σ = 35764397760. Its totient is φ = 3537133920.

The previous prime is 12321023969. The next prime is 12321024041. The reversal of 12321024012 is 21042012321.

It is a happy number.

12321024012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123210240122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 811258 + ... + 826305.

Almost surely, 212321024012 is an apocalyptic number.

12321024012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12321024012 is an abundant number, since it is smaller than the sum of its proper divisors (23443373748).

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

12321024012 is a wasteful number, since it uses less digits than its factorization.

12321024012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637603 (or 1637598 counting only the distinct ones).

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

Adding to 12321024012 its reverse (21042012321), we get a palindrome (33363036333).

The spelling of 12321024012 in words is "twelve billion, three hundred twenty-one million, twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 1637563 3275126 4912689 6550252 9825378 14738067 18013193 19650756 29476134 31113697 36026386 54039579 58952268 62227394 72052772 93341091 108079158 124454788 162118737 186682182 216158316 280023273 324237474 342250667 373364364 560046546 648474948 684501334 1026752001 1120093092 1369002668 2053504002 3080256003 4107008004 6160512006 12321024012