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122231514420 = 223251609422041
BaseRepresentation
bin111000111010110010…
…0001110010100110100
3102200111112011021210200
41301311210032110310
54000312231430140
6132052525320500
711555003505231
oct1616544162464
9380445137720
10122231514420
1147924559a14
121b833106130
13b6ac6010c2
145cb7868788
1532a5d4a030
hex1c7590e534

122231514420 has 72 divisors (see below), whose sum is σ = 371000240520. Its totient is φ = 32574735360.

The previous prime is 122231514389. The next prime is 122231514421. The reversal of 122231514420 is 24415132221.

122231514420 is a `hidden beast` number, since 1 + 2 + 2 + 231 + 5 + 1 + 4 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16546705956 + 105684808464 = 128634^2 + 325092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231514421) 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, 78600 + ... + 500640.

Almost surely, 2122231514420 is an apocalyptic number.

122231514420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122231514420 is an abundant number, since it is smaller than the sum of its proper divisors (248768726100).

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

122231514420 is a wasteful number, since it uses less digits than its factorization.

122231514420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423665 (or 423660 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 122231514420 its reverse (24415132221), we get a palindrome (146646646641).

The spelling of 122231514420 in words is "one hundred twenty-two billion, two hundred thirty-one million, five hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1609 3218 4827 6436 8045 9654 14481 16090 19308 24135 28962 32180 48270 57924 72405 96540 144810 289620 422041 844082 1266123 1688164 2110205 2532246 3798369 4220410 5064492 6330615 7596738 8440820 12661230 15193476 18991845 25322460 37983690 75967380 679063969 1358127938 2037191907 2716255876 3395319845 4074383814 6111575721 6790639690 8148767628 10185959535 12223151442 13581279380 20371919070 24446302884 30557878605 40743838140 61115757210 122231514420