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12130446300 = 22352737156119
BaseRepresentation
bin10110100110000011…
…11110101111011100
31011022101120112000220
423103001332233130
5144320343240200
65323405321340
7606414043440
oct132301765734
934271515026
1012130446300
115165358935
122426566250
1311b41a849b
14831096820
154aee3b4a0
hex2d307ebdc

12130446300 has 144 divisors (see below), whose sum is σ = 41195696640. Its totient is φ = 2697719040.

The previous prime is 12130446277. The next prime is 12130446313. The reversal of 12130446300 is 364403121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360 + ... + 155759.

Almost surely, 212130446300 is an apocalyptic number.

12130446300 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 12130446300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20597848320).

12130446300 is an abundant number, since it is smaller than the sum of its proper divisors (29065250340).

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

12130446300 is a wasteful number, since it uses less digits than its factorization.

12130446300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156180 (or 156173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12130446300 its reverse (364403121), we get a palindrome (12494849421).

The spelling of 12130446300 in words is "twelve billion, one hundred thirty million, four hundred forty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 37 42 50 60 70 74 75 84 100 105 111 140 148 150 175 185 210 222 259 300 350 370 420 444 518 525 555 700 740 777 925 1036 1050 1110 1295 1554 1850 2100 2220 2590 2775 3108 3700 3885 5180 5550 6475 7770 11100 12950 15540 19425 25900 38850 77700 156119 312238 468357 624476 780595 936714 1092833 1561190 1873428 2185666 2341785 3122380 3278499 3902975 4371332 4683570 5464165 5776403 6556998 7805950 9367140 10928330 11552806 11708925 13113996 15611900 16392495 17329209 21856660 23105612 23417850 27320825 28882015 32784990 34658418 40434821 46835700 54641650 57764030 65569980 69316836 80869642 81962475 86646045 109283300 115528060 121304463 144410075 161739284 163924950 173292090 202174105 242608926 288820150 327849900 346584180 404348210 433230225 485217852 577640300 606522315 808696420 866460450 1010870525 1213044630 1732920900 2021741050 2426089260 3032611575 4043482100 6065223150 12130446300