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122010121120122 = 232611812971206639
BaseRepresentation
bin11011101111011110110001…
…111011011010100101111010
3121000000001110010022001121100
4123233132301323122211322
5111443003212001320442
61111254401552352230
734461640353612114
oct3357366173324572
9530001403261540
10122010121120122
1135970224636384
1211826466845676
1353106747a8201
14221b46dbb03b4
15e18b6ae6884c
hex6ef7b1eda97a

122010121120122 has 96 divisors (see below), whose sum is σ = 270265669390080. Its totient is φ = 39768722928000.

The previous prime is 122010121120117. The next prime is 122010121120123. The reversal of 122010121120122 is 221021121010221.

122010121120122 is a `hidden beast` number, since 1 + 220 + 10 + 1 + 211 + 201 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122010121120095 and 122010121120104.

It is not an unprimeable number, because it can be changed into a prime (122010121120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 590347279 + ... + 590553917.

It is an arithmetic number, because the mean of its divisors is an integer number (2815267389480).

Almost surely, 2122010121120122 is an apocalyptic number.

122010121120122 is an abundant number, since it is smaller than the sum of its proper divisors (148255548269958).

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

122010121120122 is a wasteful number, since it uses less digits than its factorization.

122010121120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209860 (or 209857 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122010121120122 its reverse (221021121010221), we get a palindrome (343031242130343).

The spelling of 122010121120122 in words is "one hundred twenty-two trillion, ten billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 61 122 181 183 362 366 543 549 1086 1098 1629 2971 3258 5942 8913 11041 17826 22082 26739 33123 53478 66246 99369 181231 198738 206639 362462 413278 537751 543693 619917 1075502 1087386 1239834 1613253 1631079 1859751 3226506 3262158 3719502 4839759 9679518 12604979 25209958 32802811 37401659 37814937 65605622 74803318 75629874 98408433 112204977 113444811 196816866 224409954 226889622 295225299 336614931 590450598 613924469 673229862 1227848938 1841773407 2281501199 3683546814 4563002398 5525320221 6844503597 11050640442 13689007194 20533510791 37449392609 41067021582 74898785218 111120328889 112348177827 222240657778 224696355654 333360986667 337044533481 666721973334 674089066962 1000082960001 2000165920002 6778340062229 13556680124458 20335020186687 40670040373374 61005060560061 122010121120122