Search a number
-
+
122222045371680 = 25325241352184317
BaseRepresentation
bin11011110010100100001001…
…100110010001110100100000
3121000202022110111011111010100
4123302210021212101310200
5112004441222103343210
61111540011004502400
734513152136204662
oct3362441146216440
9530668414144110
10122222045371680
1135a42095321231
121185b54b84aa00
135327649359a27
1422278157d2532
15e1e4211995c0
hex6f2909991d20

122222045371680 has 144 divisors (see below), whose sum is σ = 418813364753784. Its totient is φ = 32457306562560.

The previous prime is 122222045371649. The next prime is 122222045371687. The reversal of 122222045371680 is 86173540222221.

122222045371680 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 2 + 20 + 4 + 537 + 16 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 120820634520336 + 1401410851344 = 10991844^2 + 1183812^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (122222045371687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175745119 + ... + 176439198.

Almost surely, 2122222045371680 is an apocalyptic number.

122222045371680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222045371680 is an abundant number, since it is smaller than the sum of its proper divisors (296591319382104).

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

122222045371680 is a wasteful number, since it uses less digits than its factorization.

122222045371680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352184579 (or 352184568 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 122222045371680 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, forty-five million, three hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 241 288 360 480 482 720 723 964 1205 1440 1446 1928 2169 2410 2892 3615 3856 4338 4820 5784 7230 7712 8676 9640 10845 11568 14460 17352 19280 21690 23136 28920 34704 38560 43380 57840 69408 86760 115680 173520 347040 352184317 704368634 1056552951 1408737268 1760921585 2113105902 2817474536 3169658853 3521843170 4226211804 5282764755 5634949072 6339317706 7043686340 8452423608 10565529510 11269898144 12678635412 14087372680 15848294265 16904847216 21131059020 25357270824 28174745360 31696588530 33809694432 42262118040 50714541648 56349490720 63393177060 84524236080 84876420397 101429083296 126786354120 169048472160 169752840794 253572708240 254629261191 339505681588 424382101985 507145416480 509258522382 679011363176 763887783573 848764203970 1018517044764 1273146305955 1358022726352 1527775567146 1697528407940 2037034089528 2546292611910 2716045452704 3055551134292 3395056815880 3819438917865 4074068179056 5092585223820 6111102268584 6790113631760 7638877835730 8148136358112 10185170447640 12222204537168 13580227263520 15277755671460 20370340895280 24444409074336 30555511342920 40740681790560 61111022685840 122222045371680