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122330224223025 = 35272138093165079
BaseRepresentation
bin11011110100001000111001…
…100011110110001100110001
3121001010122200122202112012020
4123310020321203312030301
5112013224244400114100
61112101421301022053
734524031665236100
oct3364107143661461
9531118618675166
10122330224223025
1135a83a58482405
12118785006b4929
1353348c9470680
14222cb58b96037
15e2215345c5a0
hex6f42398f6331

122330224223025 has 144 divisors (see below), whose sum is σ = 253684706889600. Its totient is φ = 51556841763840.

The previous prime is 122330224222867. The next prime is 122330224223057. The reversal of 122330224223025 is 520322422033221.

It is a happy number.

It is not a de Polignac number, because 122330224223025 - 28 = 122330224222769 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37067436 + ... + 40232514.

It is an arithmetic number, because the mean of its divisors is an integer number (1761699353400).

Almost surely, 2122330224223025 is an apocalyptic number.

122330224223025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122330224223025 is an abundant number, since it is smaller than the sum of its proper divisors (131354482666575).

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

122330224223025 is a wasteful number, since it uses less digits than its factorization.

122330224223025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165928 (or 3165916 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 122330224223025 its reverse (520322422033221), we get a palindrome (642652646256246).

The spelling of 122330224223025 in words is "one hundred twenty-two trillion, three hundred thirty billion, two hundred twenty-four million, two hundred twenty-three thousand, twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 455 525 637 735 809 975 1225 1365 1911 2275 2427 3185 3675 4045 5663 6825 9555 10517 12135 15925 16989 20225 28315 31551 39641 47775 52585 60675 73619 84945 118923 141575 157755 198205 220857 262925 368095 424725 515333 594615 788775 991025 1104285 1545999 1840475 2576665 2973075 3165079 5521425 7729995 9495237 12883325 15825395 22155553 38649975 41146027 47476185 66466659 79126975 110777765 123438081 155088871 205730135 237380925 288022189 332333295 465266613 553888825 617190405 775444355 864066567 1028650675 1440110945 1661666475 2016155323 2326333065 2560548911 3085952025 3877221775 4320332835 6048465969 7200554725 7681646733 10080776615 11631665325 12802744555 17923842377 21601664175 30242329845 33287135843 38408233665 50403883075 53771527131 64013722775 89619211885 99861407529 125466896639 151211649225 166435679215 192041168325 233009950901 268857635655 376400689917 448096059425 499307037645 627334483195 699029852703 832178396075 1165049754505 1344288178275 1631069656307 1882003449585 2496535188225 3136672415975 3495149263515 4893208968921 5825248772525 8155348281535 9410017247925 17475746317575 24466044844605 40776741407675 122330224223025