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122122220130 = 2345198819007
BaseRepresentation
bin111000110111100001…
…1010011001001100010
3102200012220111120020000
41301233003103021202
54000101242021010
6132034023000430
711552205513051
oct1615703231142
9380186446200
10122122220130
114787889a559
121b802599116
13b692a85021
145ca7138398
15329b45b7c0
hex1c6f0d3262

122122220130 has 160 divisors (see below), whose sum is σ = 346086639360. Its totient is φ = 30813488640.

The previous prime is 122122220117. The next prime is 122122220173. The reversal of 122122220130 is 31022221221.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13554087 + ... + 13563093.

It is an arithmetic number, because the mean of its divisors is an integer number (2163041496).

Almost surely, 2122122220130 is an apocalyptic number.

122122220130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122220130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173043319680).

122122220130 is an abundant number, since it is smaller than the sum of its proper divisors (223964419230).

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

122122220130 is a wasteful number, since it uses less digits than its factorization.

122122220130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9926 (or 9917 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122122220130 its reverse (31022221221), we get a palindrome (153144441351).

The spelling of 122122220130 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 881 1026 1539 1710 1762 2565 2643 3078 4405 5130 5286 7695 7929 8810 9007 13215 15390 15858 16739 18014 23787 26430 27021 33478 39645 45035 47574 50217 54042 71361 79290 81063 83695 90070 100434 118935 135105 142722 150651 162126 167390 171133 237870 243189 251085 270210 301302 342266 356805 405315 451953 486378 502170 513399 713610 729567 753255 810630 855665 903906 1026798 1215945 1355859 1459134 1506510 1540197 1711330 2259765 2431890 2566995 2711718 3080394 3647835 4519530 4620591 5133990 6779295 7295670 7700985 7935167 9241182 13558590 13861773 15401970 15870334 23102955 23805501 27723546 39675835 46205910 47611002 69308865 71416503 79351670 119027505 138617730 142833006 150768173 214249509 238055010 301536346 357082515 428499018 452304519 642748527 714165030 753840865 904609038 1071247545 1285497054 1356913557 1507681730 2142495090 2261522595 2713827114 3213742635 4070740671 4523045190 6427485270 6784567785 8141481342 12212222013 13569135570 20353703355 24424444026 40707406710 61061110065 122122220130