Search a number
-
+
122122121120202 = 237193123321187213
BaseRepresentation
bin11011110001000111000101…
…101001100000100111001010
3121000101202112121001120022110
4123301013011221200213022
5112001322101001321302
61111422043345203150
734503014002114440
oct3361070551404712
9530352477046273
10122122121120202
1135a03778723115
12118441033304b6
13531b0b344c4c8
142222a5684cb90
15e1ba23923b6c
hex6f11c5a609ca

122122121120202 has 128 divisors (see below), whose sum is σ = 304607728189440. Its totient is φ = 31852007032320.

The previous prime is 122122121120177. The next prime is 122122121120239. The reversal of 122122121120202 is 202021121221221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4829653 + ... + 16357560.

It is an arithmetic number, because the mean of its divisors is an integer number (2379747876480).

Almost surely, 2122122121120202 is an apocalyptic number.

122122121120202 is an abundant number, since it is smaller than the sum of its proper divisors (182485607069238).

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

122122121120202 is a wasteful number, since it uses less digits than its factorization.

122122121120202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21187508.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122122121120202 its reverse (202021121221221), we get a palindrome (324143242341423).

The spelling of 122122121120202 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 186 217 233 266 399 434 466 589 651 699 798 1178 1302 1398 1631 1767 3262 3534 4123 4427 4893 7223 8246 8854 9786 12369 13281 14446 21669 24738 26562 30989 43338 50561 61978 92967 101122 137237 151683 185934 274474 303366 411711 823422 960659 1921318 2881977 5763954 21187213 42374426 63561639 127123278 148310491 296620982 402557047 444931473 656803603 805114094 889862946 1207671141 1313607206 1970410809 2415342282 2817899329 3940821618 4597625221 4936620629 5635798658 8453697987 9195250442 9873241258 12479268457 13792875663 14809861887 16907395974 24958536914 27585751326 29619723774 34556344403 37437805371 69112688806 74875610742 87354879199 93795791951 103669033209 153035239499 174709758398 187591583902 207338066418 262064637597 281387375853 306070478998 459105718497 524129275194 562774751706 656570543657 918211436994 1071246676493 1313141087314 1969711630971 2142493352986 2907669550481 3213740029479 3939423261942 5815339100962 6427480058958 8723008651443 17446017302886 20353686853367 40707373706734 61061060560101 122122121120202