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12001223012280 = 2335177097982883
BaseRepresentation
bin1010111010100100000010…
…1000100110111110111000
31120111022020212101120020120
42232221000220212332320
53033112001042343110
641305141415253240
72346026331313665
oct256510050467670
946438225346216
1012001223012280
113907765579057
121419b0137a220
13690930bb05a8
142d6c101bca6c
1515c2a54a4870
hexaea40a26fb8

12001223012280 has 128 divisors (see below), whose sum is σ = 38122528953600. Its totient is φ = 3011992881152.

The previous prime is 12001223012237. The next prime is 12001223012281. The reversal of 12001223012280 is 8221032210021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12001223012280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001223012281) 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, 144755719 + ... + 144838601.

It is an arithmetic number, because the mean of its divisors is an integer number (297832257450).

Almost surely, 212001223012280 is an apocalyptic number.

12001223012280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001223012280 is an abundant number, since it is smaller than the sum of its proper divisors (26121305941320).

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

12001223012280 is a wasteful number, since it uses less digits than its factorization.

12001223012280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153893 (or 153889 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 12001223012280 in words is "twelve trillion, one billion, two hundred twenty-three million, twelve thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 70979 82883 141958 165766 212937 248649 283916 331532 354895 414415 425874 497298 567832 663064 709790 828830 851748 994596 1064685 1206643 1243245 1409011 1419580 1657660 1703496 1989192 2129370 2413286 2486490 2818022 2839160 3315320 3619929 4227033 4258740 4826572 4972980 5636044 6033215 7045055 7239858 8454066 8517480 9653144 9945960 11272088 12066430 14090110 14479716 16908132 18099645 21135165 24132860 28180220 28959432 33816264 36199290 42270330 48265720 56360440 72398580 84540660 144797160 169081320 5882952457 11765904914 17648857371 23531809828 29414762285 35297714742 47063619656 58829524570 70595429484 88244286855 100010191769 117659049140 141190858968 176488573710 200020383538 235318098280 300030575307 352977147420 400040767076 500050958845 600061150614 705954294840 800081534152 1000101917690 1200122301228 1500152876535 2000203835380 2400244602456 3000305753070 4000407670760 6000611506140 12001223012280