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12001211210040 = 23351328979265471
BaseRepresentation
bin1010111010100011111111…
…1011100101100100111000
31120111022020001011221121120
42232220333323211210320
53033111440032210130
641305140314305240
72346026126100063
oct256507773454470
946438201157546
1012001211210040
113907759947938
121419ab9428220
1369092b60a610
142d6c0c7c98da
1515c2a4422910
hexaea3fee5938

12001211210040 has 128 divisors (see below), whose sum is σ = 38774627942400. Its totient is φ = 2954031229440.

The previous prime is 12001211209987. The next prime is 12001211210041. The reversal of 12001211210040 is 4001211210021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001211210041) 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, 45074505 + ... + 45339975.

It is an arithmetic number, because the mean of its divisors is an integer number (302926780800).

Almost surely, 212001211210040 is an apocalyptic number.

12001211210040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001211210040 is an abundant number, since it is smaller than the sum of its proper divisors (26773416732360).

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

12001211210040 is a wasteful number, since it uses less digits than its factorization.

12001211210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294477 (or 294473 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12001211210040 its reverse (4001211210021), we get a palindrome (16002422420061).

The spelling of 12001211210040 in words is "twelve trillion, one billion, two hundred eleven million, two hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 28979 57958 86937 115916 144895 173874 231832 265471 289790 347748 376727 434685 530942 579580 695496 753454 796413 869370 1061884 1130181 1159160 1327355 1506908 1592826 1738740 1883635 2123768 2260362 2654710 3013816 3185652 3451123 3477480 3767270 3982065 4520724 5309420 5650905 6371304 6902246 7534540 7964130 9041448 10353369 10618840 11301810 13804492 15069080 15928260 17255615 20706738 22603620 27608984 31856520 34511230 41413476 45207240 51766845 69022460 82826952 103533690 138044920 207067380 414134760 7693084109 15386168218 23079252327 30772336436 38465420545 46158504654 61544672872 76930841090 92317009308 100010093417 115396261635 153861682180 184634018616 200020186834 230792523270 300030280251 307723364360 400040373668 461585046540 500050467085 600060560502 800080747336 923170093080 1000100934170 1200121121004 1500151401255 2000201868340 2400242242008 3000302802510 4000403736680 6000605605020 12001211210040