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12030103120 = 2457431792791
BaseRepresentation
bin10110011010000110…
…01100111001010000
31011001101202120001211
423031003030321100
5144114201244440
65305422505504
7604055121640
oct131503147120
934041676054
1012030103120
115113752592
1223b8a35294
131199474719
14821a16520
154a6219eea
hex2cd0cce50

12030103120 has 160 divisors (see below), whose sum is σ = 32903608320. Its totient is φ = 4004743680.

The previous prime is 12030103117. The next prime is 12030103139. The reversal of 12030103120 is 2130103021.

It is a self number, because there is not a number n which added to its sum of digits gives 12030103120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4308925 + ... + 4311715.

It is an arithmetic number, because the mean of its divisors is an integer number (205647552).

Almost surely, 212030103120 is an apocalyptic number.

12030103120 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 12030103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16451804160).

12030103120 is an abundant number, since it is smaller than the sum of its proper divisors (20873505200).

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

12030103120 is a wasteful number, since it uses less digits than its factorization.

12030103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12030103120 its reverse (2130103021), we get a palindrome (14160206141).

Subtracting from 12030103120 its reverse (2130103021), we obtain a palindrome (9900000099).

The spelling of 12030103120 in words is "twelve billion, thirty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 179 215 280 301 344 358 430 560 602 688 716 860 895 1204 1253 1432 1505 1720 1790 2408 2506 2791 2864 3010 3440 3580 4816 5012 5582 6020 6265 7160 7697 10024 11164 12040 12530 13955 14320 15394 19537 20048 22328 24080 25060 27910 30788 38485 39074 44656 50120 53879 55820 61576 76970 78148 97685 100240 107758 111640 120013 123152 153940 156296 195370 215516 223280 240026 269395 307880 312592 390740 431032 480052 499589 538790 600065 615760 781480 840091 862064 960104 999178 1077580 1200130 1562960 1680182 1920208 1998356 2155160 2400260 2497945 3360364 3497123 3996712 4200455 4310320 4800520 4995890 6720728 6994246 7993424 8400910 9601040 9991780 13441456 13988492 16801820 17485615 19983560 21482327 27976984 33603640 34971230 39967120 42964654 55953968 67207280 69942460 85929308 107411635 139884920 150376289 171858616 214823270 279769840 300752578 343717232 429646540 601505156 751881445 859293080 1203010312 1503762890 1718586160 2406020624 3007525780 6015051560 12030103120