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12013770040230 = 23571271063423763
BaseRepresentation
bin1010111011010010110001…
…1111101110001110100110
31120112111122021211121212110
42232310230133232032212
53033313200112241410
641315014425501450
72346652264303260
oct256645437561646
946474567747773
1012013770040230
113912013a97942
121420423341886
13691b8048489a
142d7680714b30
1515c78bc7c720
hexaed2c7ee3a6

12013770040230 has 128 divisors (see below), whose sum is σ = 33242841612288. Its totient is φ = 2721813155712.

The previous prime is 12013770040211. The next prime is 12013770040361. The reversal of 12013770040230 is 3204007731021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28138329 + ... + 28562091.

It is an arithmetic number, because the mean of its divisors is an integer number (259709700096).

Almost surely, 212013770040230 is an apocalyptic number.

12013770040230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013770040230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16621420806144).

12013770040230 is an abundant number, since it is smaller than the sum of its proper divisors (21229071572058).

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

12013770040230 is a wasteful number, since it uses less digits than its factorization.

12013770040230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424970.

The product of its (nonzero) digits is 7056, while the sum is 30.

Adding to 12013770040230 its reverse (3204007731021), we get a palindrome (15217777771251).

The spelling of 12013770040230 in words is "twelve trillion, thirteen billion, seven hundred seventy million, forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 127 210 254 381 635 762 889 1063 1270 1778 1905 2126 2667 3189 3810 4445 5315 5334 6378 7441 8890 10630 13335 14882 15945 22323 26670 31890 37205 44646 74410 111615 135001 223230 270002 405003 423763 675005 810006 847526 945007 1271289 1350010 1890014 2025015 2118815 2542578 2835021 2966341 4050030 4237630 4725035 5670042 5932682 6356445 8899023 9450070 12712890 14175105 14831705 17798046 28350210 29663410 44495115 53817901 88990230 107635802 161453703 269089505 322907406 376725307 450460069 538179010 753450614 807268515 900920138 1130175921 1351380207 1614537030 1883626535 2252300345 2260351842 2702760414 3153220483 3767253070 4504600690 5650879605 6306440966 6756901035 9459661449 11301759210 13513802070 15766102415 18919322898 31532204830 47298307245 57208428763 94596614490 114416857526 171625286289 286042143815 343250572578 400459001341 572084287630 800918002682 858126431445 1201377004023 1716252862890 2002295006705 2402754008046 4004590013410 6006885020115 12013770040230