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122130100212 = 223314130726083
BaseRepresentation
bin111000110111110000…
…1010110111111110100
3102200020110022220122220
41301233201112333310
54000110301201322
6132034503522340
711552332503051
oct1615741267764
9380213286586
10122130100212
1147882291a1a
121b8051593b0
13b6945b39b3
145ca81ca028
15329beb655c
hex1c6f856ff4

122130100212 has 96 divisors (see below), whose sum is σ = 302330671104. Its totient is φ = 38309241600.

The previous prime is 122130100201. The next prime is 122130100219. The reversal of 122130100212 is 212001031221.

It is a super-2 number, since 2×1221301002122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122130100191 and 122130100200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122130100219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4669323 + ... + 4695405.

It is an arithmetic number, because the mean of its divisors is an integer number (3149277824).

Almost surely, 2122130100212 is an apocalyptic number.

122130100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122130100212 is an abundant number, since it is smaller than the sum of its proper divisors (180200570892).

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

122130100212 is a wasteful number, since it uses less digits than its factorization.

122130100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26469 (or 26467 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122130100212 its reverse (212001031221), we get a palindrome (334131131433).

The spelling of 122130100212 in words is "one hundred twenty-two billion, one hundred thirty million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 31 41 62 82 93 123 124 164 186 246 307 372 492 614 921 1228 1271 1842 2542 3684 3813 5084 7626 9517 12587 15252 19034 25174 26083 28551 37761 38068 50348 52166 57102 75522 78249 104332 114204 151044 156498 312996 390197 780394 808573 1069403 1170591 1560788 1617146 2138806 2341182 2425719 3208209 3234292 4277612 4682364 4851438 6416418 8007481 9702876 12832836 16014962 24022443 32029924 33151493 48044886 66302986 96089772 99454479 132605972 198908958 248231911 328306721 397817916 496463822 656613442 744695733 984920163 992927644 1313226884 1489391466 1969840326 2978782932 3939680652 10177508351 20355016702 30532525053 40710033404 61065050106 122130100212