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12000010320 = 2432517980393
BaseRepresentation
bin10110010110100000…
…11010000001010000
31010222022010200111200
423023100122001100
5144034000312240
65302425511200
7603241255554
oct131320320120
933868120450
1012000010320
1150a8769401
1223aa942500
13119316942c
1481ba21864
154a3773930
hex2cb41a050

12000010320 has 120 divisors (see below), whose sum is σ = 42670668456. Its totient is φ = 3011764224.

The previous prime is 12000010313. The next prime is 12000010327. The reversal of 12000010320 is 2301000021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12000010313) and next prime (12000010327).

It can be written as a sum of positive squares in 4 ways, for example, as 1756951056 + 10243059264 = 41916^2 + 101208^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000010327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477957 + ... + 502436.

Almost surely, 212000010320 is an apocalyptic number.

12000010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000010320 is an abundant number, since it is smaller than the sum of its proper divisors (30670658136).

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

12000010320 is a wasteful number, since it uses less digits than its factorization.

12000010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980429 (or 980420 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 12000010320 its reverse (2301000021), we get a palindrome (14301010341).

The spelling of 12000010320 in words is "twelve billion, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 980393 1960786 2941179 3921572 4901965 5882358 7843144 8823537 9803930 11764716 14705895 15686288 16666681 17647074 19607860 23529432 29411790 33333362 35294148 39215720 44117685 47058864 50000043 58823580 66666724 70588296 78431440 83333405 88235370 100000086 117647160 133333448 141176592 150000129 166666810 176470740 200000172 235294320 250000215 266666896 300000258 333333620 352941480 400000344 500000430 600000516 666667240 705882960 750000645 800000688 1000000860 1200001032 1333334480 1500001290 2000001720 2400002064 3000002580 4000003440 6000005160 12000010320