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122044321242 = 23341477116519
BaseRepresentation
bin111000110101001101…
…0001000110111011010
3102200000110220220001000
41301222122020313122
53444421321234432
6132022201205430
711550241420434
oct1615232106732
9380013826030
10122044321242
1147838923a08
121b7a0490876
13b67c8ac0cc
145c9aa5b654
1532946c057c
hex1c6a688dda

122044321242 has 128 divisors (see below), whose sum is σ = 287749324800. Its totient is φ = 38295331200.

The previous prime is 122044321199. The next prime is 122044321249. The reversal of 122044321242 is 242123440221.

It is a happy number.

122044321242 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 443 + 212 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (122044321249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7379859 + ... + 7396377.

It is an arithmetic number, because the mean of its divisors is an integer number (2248041600).

Almost surely, 2122044321242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122044321242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143874662400).

122044321242 is an abundant number, since it is smaller than the sum of its proper divisors (165705003558).

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

122044321242 is a wasteful number, since it uses less digits than its factorization.

122044321242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16689 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 122044321242 its reverse (242123440221), we get a palindrome (364167761463).

The spelling of 122044321242 in words is "one hundred twenty-two billion, forty-four million, three hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 41 47 54 71 82 94 123 141 142 213 246 282 369 423 426 639 738 846 1107 1269 1278 1917 1927 2214 2538 2911 3337 3834 3854 5781 5822 6674 8733 10011 11562 16519 17343 17466 20022 26199 30033 33038 34686 49557 52029 52398 60066 78597 90099 99114 104058 136817 148671 157194 180198 273634 297342 410451 446013 677279 776393 820902 892026 1172849 1231353 1354558 1552786 2031837 2329179 2345698 2462706 3518547 3694059 4063674 4658358 6095511 6987537 7037094 7388118 10555641 12191022 13975074 18286533 20962611 21111282 31666923 31832113 36573066 41925222 48086809 55123903 63333846 63664226 95496339 96173618 110247806 144260427 165371709 190992678 286489017 288520854 330743418 432781281 496115127 572978034 859467051 865562562 992230254 1298343843 1488345381 1718934102 2260080023 2596687686 2976690762 4520160046 6780240069 13560480138 20340720207 40681440414 61022160621 122044321242