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12341128680 = 2333531913581
BaseRepresentation
bin10110111111001011…
…01010110111101000
31011212002000021221000
423133211222313220
5200233312104210
65400333115000
7614552601666
oct133745526750
934762007830
1012341128680
115263277701
122485028a60
131218a32b0a
14851059c36
154c36a5ac0
hex2df96ade8

12341128680 has 128 divisors (see below), whose sum is σ = 41161478400. Its totient is φ = 3289017600.

The previous prime is 12341128643. The next prime is 12341128697. The reversal of 12341128680 is 8682114321.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3444490 + ... + 3448070.

It is an arithmetic number, because the mean of its divisors is an integer number (321574050).

Almost surely, 212341128680 is an apocalyptic number.

12341128680 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 12341128680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20580739200).

12341128680 is an abundant number, since it is smaller than the sum of its proper divisors (28820349720).

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

12341128680 is a wasteful number, since it uses less digits than its factorization.

12341128680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 6782 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12341128680 in words is "twelve billion, three hundred forty-one million, one hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 3191 3581 6382 7162 9573 10743 12764 14324 15955 17905 19146 21486 25528 28648 28719 31910 32229 35810 38292 42972 47865 53715 57438 63820 64458 71620 76584 85944 86157 95730 96687 107430 114876 127640 128916 143240 143595 161145 172314 191460 193374 214860 229752 257832 287190 322290 344628 382920 386748 429720 430785 483435 574380 644580 689256 773496 861570 966870 1148760 1289160 1723140 1933740 3446280 3867480 11426971 22853942 34280913 45707884 57134855 68561826 91415768 102842739 114269710 137123652 171404565 205685478 228539420 274247304 308528217 342809130 411370956 457078840 514213695 617056434 685618260 822741912 1028427390 1234112868 1371236520 1542641085 2056854780 2468225736 3085282170 4113709560 6170564340 12341128680