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122666406432240 = 243511167197277903
BaseRepresentation
bin11011111001000001111111…
…100101001100110111110000
3121002022210102202220020001010
4123321001333211030313300
5112034231300021312430
61112520100312310520
734560232621665036
oct3371017745146760
9532283382806033
10122666406432240
11360a3592584a50
12119116a33a2440
13535a5143c8718
14224112b422556
15e2ac7c370cb0
hex6f907f94cdf0

122666406432240 has 160 divisors (see below), whose sum is σ = 414839457432576. Its totient is φ = 29737025786880.

The previous prime is 122666406432223. The next prime is 122666406432247. The reversal of 122666406432240 is 42234604666221.

It is a super-2 number, since 2×1226664064322402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 122666406432240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122666406432247) 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, 441261129 + ... + 441539031.

Almost surely, 2122666406432240 is an apocalyptic number.

122666406432240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122666406432240 is an abundant number, since it is smaller than the sum of its proper divisors (292173051000336).

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

122666406432240 is a wasteful number, since it uses less digits than its factorization.

122666406432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445127 (or 445121 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 122666406432240 in words is "one hundred twenty-two trillion, six hundred sixty-six billion, four hundred six million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 167197 277903 334394 501591 555806 668788 833709 835985 1003182 1111612 1337576 1389515 1667418 1671970 1839167 2006364 2223224 2507955 2675152 2779030 3056933 3334836 3343940 3678334 4012728 4168545 4446448 5015910 5517501 5558060 6113866 6669672 6687880 7356668 8025456 8337090 9170799 9195835 10031820 11035002 11116120 12227732 13339344 13375760 14713336 15284665 16674180 18341598 18391670 20063640 22070004 22232240 24455464 27587505 29426672 30569330 33348360 36683196 36783340 40127280 44140008 45853995 48910928 55175010 61138660 66696720 73366392 73566680 88280016 91707990 110350020 122277320 146732784 147133360 183415980 220700040 244554640 366831960 441400080 733663920 46464547891 92929095782 139393643673 185858191564 232322739455 278787287346 371716383128 464645478910 511110026801 557574574692 696968218365 743432766256 929290957820 1022220053602 1115149149384 1393936436730 1533330080403 1858581915640 2044440107204 2230298298768 2555550134005 2787872873460 3066660160806 3717163831280 4088880214408 5111100268010 5575745746920 6133320321612 7666650402015 8177760428816 10222200536020 11151491493840 12266640643224 15333300804030 20444401072040 24533281286448 30666601608060 40888802144080 61333203216120 122666406432240