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12267680520 = 23354114591709
BaseRepresentation
bin10110110110011010…
…11111001100001000
31011122221210201222210
423123031133030020
5200111011234040
65345150545120
7613001364264
oct133315371410
934587721883
1012267680520
115225870a47
1224645081a0
131206757974
148453bb0a4
154bbee8480
hex2db35f308

12267680520 has 128 divisors (see below), whose sum is σ = 37748592000. Its totient is φ = 3187537920.

The previous prime is 12267680461. The next prime is 12267680527. The reversal of 12267680520 is 2508676221.

It is not an unprimeable number, because it can be changed into a prime (12267680527) 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, 7177426 + ... + 7179134.

It is an arithmetic number, because the mean of its divisors is an integer number (294910875).

Almost surely, 212267680520 is an apocalyptic number.

12267680520 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 12267680520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874296000).

12267680520 is an abundant number, since it is smaller than the sum of its proper divisors (25480911480).

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

12267680520 is a wasteful number, since it uses less digits than its factorization.

12267680520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3219 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 12267680520 in words is "twelve billion, two hundred sixty-seven million, six hundred eighty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1459 1640 1709 2460 2918 3418 4377 4920 5127 5836 6836 7295 8545 8754 10254 11672 13672 14590 17090 17508 20508 21885 25635 29180 34180 35016 41016 43770 51270 58360 59819 68360 70069 87540 102540 119638 140138 175080 179457 205080 210207 239276 280276 299095 350345 358914 420414 478552 560552 598190 700690 717828 840828 897285 1051035 1196380 1401380 1435656 1681656 1794570 2102070 2392760 2493431 2802760 3589140 4204140 4986862 7178280 7480293 8408280 9973724 12467155 14960586 19947448 24934310 29921172 37401465 49868620 59842344 74802930 99737240 102230671 149605860 204461342 299211720 306692013 408922684 511153355 613384026 817845368 1022306710 1226768052 1533460065 2044613420 2453536104 3066920130 4089226840 6133840260 12267680520