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122141540120 = 23514988323209
BaseRepresentation
bin111000111000000110…
…0111111111100011000
3102200021020212010021012
41301300030333330120
54000121213240440
6132035553033052
711552531650415
oct1616014777430
9380236763235
10122141540120
1147888795996
121b808b55788
13b696a8aa82
145ca992710c
15329cec5e65
hex1c7033ff18

122141540120 has 64 divisors (see below), whose sum is σ = 276988140000. Its totient is φ = 48471671808.

The previous prime is 122141540093. The next prime is 122141540141. The reversal of 122141540120 is 21045141221.

It is a super-2 number, since 2×1221415401202 (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5251076 + ... + 5274284.

Almost surely, 2122141540120 is an apocalyptic number.

122141540120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122141540120 is an abundant number, since it is smaller than the sum of its proper divisors (154846599880).

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

122141540120 is a wasteful number, since it uses less digits than its factorization.

122141540120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24252 (or 24248 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 122141540120 its reverse (21045141221), we get a palindrome (143186681341).

The spelling of 122141540120 in words is "one hundred twenty-two billion, one hundred forty-one million, five hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 883 1192 1490 1766 2980 3532 4415 5960 7064 8830 17660 23209 35320 46418 92836 116045 131567 185672 232090 263134 464180 526268 657835 928360 1052536 1315670 2631340 3458141 5262680 6916282 13832564 17290705 20493547 27665128 34581410 40987094 69162820 81974188 102467735 138325640 163948376 204935470 409870940 819741880 3053538503 6107077006 12214154012 15267692515 24428308024 30535385030 61070770060 122141540120