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120130012210212 = 22325972493780191
BaseRepresentation
bin11011010100000111110010…
…101101000110010000100100
3120202100022120002200121211100
4123110013302231012100210
5111221202231111211322
61103254544333440100
734206051455554614
oct3324076255062044
9522308502617740
10120130012210212
1135305941123024
1211582002040030
1352052999b8084
142194475dd6a44
15dd4ccd5cbdac
hex6d41f2b46424

120130012210212 has 72 divisors (see below), whose sum is σ = 308813444110080. Its totient is φ = 39364043302080.

The previous prime is 120130012210193. The next prime is 120130012210217. The reversal of 120130012210212 is 212012210031021.

120130012210212 is a `hidden beast` number, since 1 + 20 + 1 + 300 + 122 + 10 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120130012210217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153585037 + ... + 154365227.

It is an arithmetic number, because the mean of its divisors is an integer number (4289075612640).

Almost surely, 2120130012210212 is an apocalyptic number.

120130012210212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120130012210212 is an abundant number, since it is smaller than the sum of its proper divisors (188683431899868).

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

120130012210212 is a wasteful number, since it uses less digits than its factorization.

120130012210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852753 (or 852748 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120130012210212 its reverse (212012210031021), we get a palindrome (332142222241233).

The spelling of 120130012210212 in words is "one hundred twenty trillion, one hundred thirty billion, twelve million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 72493 144986 217479 289972 434958 652437 780191 869916 1304874 1560382 2340573 2609748 3120764 4277087 4681146 7021719 8554174 9362292 12831261 14043438 17108348 25662522 28086876 38493783 46031269 51325044 76987566 92062538 138093807 153975132 184125076 276187614 414281421 552375228 828562842 1657125684 56558386163 113116772326 169675158489 226233544652 339350316978 509025475467 678700633956 1018050950934 2036101901868 3336944783617 6673889567234 10010834350851 13347779134468 20021668701702 30032503052553 40043337403404 60065006105106 120130012210212