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12323424120 = 2335741357823
BaseRepresentation
bin10110111101000100…
…01000011101111000
31011210211200210211120
423132202020131320
5200214244032440
65354501425240
7614246243130
oct133642103570
934724623746
1012323424120
115254284a37
12247b10b220
131215174447
1484c96bac0
154c1d59dd0
hex2de888778

12323424120 has 128 divisors (see below), whose sum is σ = 43282391040. Its totient is φ = 2748072960.

The previous prime is 12323424107. The next prime is 12323424181. The reversal of 12323424120 is 2142432321.

It is a happy number.

12323424120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 144472 + ... + 213351.

It is an arithmetic number, because the mean of its divisors is an integer number (338143680).

Almost surely, 212323424120 is an apocalyptic number.

12323424120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12323424120 is an abundant number, since it is smaller than the sum of its proper divisors (30958966920).

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

12323424120 is a wasteful number, since it uses less digits than its factorization.

12323424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357885 (or 357881 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12323424120 its reverse (2142432321), we get a palindrome (14465856441).

The spelling of 12323424120 in words is "twelve billion, three hundred twenty-three million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 410 420 492 574 615 820 840 861 984 1148 1230 1435 1640 1722 2296 2460 2870 3444 4305 4920 5740 6888 8610 11480 17220 34440 357823 715646 1073469 1431292 1789115 2146938 2504761 2862584 3578230 4293876 5009522 5367345 7156460 7514283 8587752 10019044 10734690 12523805 14312920 14670743 15028566 20038088 21469380 25047610 29341486 30057132 37571415 42938760 44012229 50095220 58682972 60114264 73353715 75142830 88024458 100190440 102695201 117365944 146707430 150285660 176048916 205390402 220061145 293414860 300571320 308085603 352097832 410780804 440122290 513476005 586829720 616171206 821561608 880244580 1026952010 1232342412 1540428015 1760489160 2053904020 2464684824 3080856030 4107808040 6161712060 12323424120