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12423143200 = 2552131498017
BaseRepresentation
bin10111001000111101…
…00001111100100000
31012001210100001200211
423210132201330200
5200420311040300
65412423023504
7616566655246
oct134436417440
935053301624
1012423143200
1152a55a43a6
1224a859ab94
13122ca1a110
1485bcc8796
154ca9a64ba
hex2e47a1f20

12423143200 has 144 divisors (see below), whose sum is σ = 32884223400. Its totient is φ = 4555653120.

The previous prime is 12423143197. The next prime is 12423143233. The reversal of 12423143200 is 234132421.

It can be written as a sum of positive squares in 12 ways, for example, as 188128656 + 12235014544 = 13716^2 + 110612^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545592 + ... + 1553608.

Almost surely, 212423143200 is an apocalyptic number.

12423143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12423143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16442111700).

12423143200 is an abundant number, since it is smaller than the sum of its proper divisors (20461080200).

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

12423143200 is a wasteful number, since it uses less digits than its factorization.

12423143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8199 (or 8186 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12423143200 its reverse (234132421), we get a palindrome (12657275621).

The spelling of 12423143200 in words is "twelve billion, four hundred twenty-three million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 149 160 200 208 260 298 325 400 416 520 596 650 745 800 1040 1192 1300 1490 1937 2080 2384 2600 2980 3725 3874 4768 5200 5960 7450 7748 8017 9685 10400 11920 14900 15496 16034 19370 23840 29800 30992 32068 38740 40085 48425 59600 61984 64136 77480 80170 96850 104221 119200 128272 154960 160340 193700 200425 208442 256544 309920 320680 387400 400850 416884 521105 641360 774800 801700 833768 1042210 1194533 1282720 1549600 1603400 1667536 2084420 2389066 2605525 3206800 3335072 4168840 4778132 5211050 5972665 6413600 8337680 9556264 10422100 11945330 15528929 16675360 19112528 20844200 23890660 29863325 31057858 38225056 41688400 47781320 59726650 62115716 77644645 83376800 95562640 119453300 124231432 155289290 191125280 238906600 248462864 310578580 388223225 477813200 496925728 621157160 776446450 955626400 1242314320 1552892900 2484628640 3105785800 6211571600 12423143200