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122997088242 = 232762412
BaseRepresentation
bin111001010001100110…
…0101001111111110010
3102202110212201110122200
41302203030221333302
54003344223310432
6132300514244030
711612661000000
oct1624314517762
9382425643580
10122997088242
1148187716956
121ba07586616
13b7a20bc472
145d4b3d1a70
1532ed171a7c
hex1ca3329ff2

122997088242 has 126 divisors (see below), whose sum is σ = 312204360429. Its totient is φ = 34996207680.

The previous prime is 122997088223. The next prime is 122997088343. The reversal of 122997088242 is 242880799221.

It can be written as a sum of positive squares in 2 ways, for example, as 114610008681 + 8387079561 = 338541^2 + 91581^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247989.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 510361242 + ... + 510361482.

Almost surely, 2122997088242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122997088242

122997088242 is an abundant number, since it is smaller than the sum of its proper divisors (189207272187).

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

122997088242 is an frugal number, since it uses more digits than its factorization.

122997088242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 122997088242 in words is "one hundred twenty-two billion, nine hundred ninety-seven million, eighty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 241 294 343 441 482 686 723 882 1029 1446 1687 2058 2169 2401 3087 3374 4338 4802 5061 6174 7203 10122 11809 14406 15183 16807 21609 23618 30366 33614 35427 43218 50421 58081 70854 82663 100842 106281 116162 117649 151263 165326 174243 212562 235298 247989 302526 348486 352947 406567 495978 522729 578641 705894 743967 813134 1045458 1058841 1157282 1219701 1487934 1735923 2117682 2439402 2845969 3471846 3659103 4050487 5207769 5691938 7318206 8100974 8537907 10415538 12151461 17075814 19921783 24302922 25613721 28353409 36454383 39843566 51227442 56706818 59765349 72908766 85060227 119530698 139452481 170120454 179296047 255180681 278904962 358592094 418357443 510361362 836714886 976167367 1255072329 1952334734 2510144658 2928502101 5857004202 6833171569 8785506303 13666343138 17571012606 20499514707 40999029414 61498544121 122997088242