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12300203120 = 24517231732273
BaseRepresentation
bin10110111010010011…
…00011010001110000
31011202020000001121112
423131021203101300
5200142322444440
65352312012452
7613545000332
oct133511432160
934666001545
1012300203120
115242164727
122473391128
131210403bca
14849845452
154becbe965
hex2dd263470

12300203120 has 160 divisors (see below), whose sum is σ = 31793357952. Its totient is φ = 4401790976.

The previous prime is 12300203101. The next prime is 12300203129. The reversal of 12300203120 is 2130200321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12300203095 and 12300203104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300203129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5410304 + ... + 5412576.

Almost surely, 212300203120 is an apocalyptic number.

12300203120 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 12300203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896678976).

12300203120 is an abundant number, since it is smaller than the sum of its proper divisors (19493154832).

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

12300203120 is a wasteful number, since it uses less digits than its factorization.

12300203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 12300203120 its reverse (2130200321), we get a palindrome (14430403441).

The spelling of 12300203120 in words is "twelve billion, three hundred million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 173 184 230 272 340 346 368 391 460 680 692 782 865 920 1360 1384 1564 1730 1840 1955 2273 2768 2941 3128 3460 3910 3979 4546 5882 6256 6920 7820 7958 9092 11365 11764 13840 14705 15640 15916 18184 19895 22730 23528 29410 31280 31832 36368 38641 39790 45460 47056 52279 58820 63664 67643 77282 79580 90920 104558 117640 135286 154564 159160 181840 193205 209116 235280 261395 270572 309128 318320 338215 386410 393229 418232 522790 541144 618256 676430 772820 786458 836464 888743 1045580 1082288 1352860 1545640 1572916 1777486 1966145 2091160 2705720 3091280 3145832 3554972 3932290 4182320 4443715 5411440 6291664 6684893 7109944 7864580 8887430 9044267 13369786 14219888 15729160 17774860 18088534 26739572 31458320 33424465 35549720 36177068 45221335 53479144 66848930 71099440 72354136 90442670 106958288 133697860 144708272 153752539 180885340 267395720 307505078 361770680 534791440 615010156 723541360 768762695 1230020312 1537525390 2460040624 3075050780 6150101560 12300203120