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120313214130132 = 223271143107328921
BaseRepresentation
bin11011010110110010011010…
…011000111101011111010100
3120202222211102202102102110200
4123112302122120331133110
5111232202430304131012
61103515043314420500
734225225414312332
oct3326623230753724
9522884382372420
10120313214130132
11353766028aa011
12115b160bb91730
135219644ac0c9a
14219d29515ab52
15dd9951e623dc
hex6d6c9a63d7d4

120313214130132 has 72 divisors (see below), whose sum is σ = 308411613461952. Its totient is φ = 39539157436800.

The previous prime is 120313214130127. The next prime is 120313214130173. The reversal of 120313214130132 is 231031412313021.

120313214130132 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 1 + 321 + 4 + 1 + 301 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120313214130096 and 120313214130105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365617032 + ... + 365945952.

It is an arithmetic number, because the mean of its divisors is an integer number (4283494631416).

Almost surely, 2120313214130132 is an apocalyptic number.

120313214130132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120313214130132 is an abundant number, since it is smaller than the sum of its proper divisors (188098399331820).

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

120313214130132 is a wasteful number, since it uses less digits than its factorization.

120313214130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472109 (or 472104 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 120313214130132 its reverse (231031412313021), we get a palindrome (351344626443153).

The spelling of 120313214130132 in words is "one hundred twenty trillion, three hundred thirteen billion, two hundred fourteen million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 143107 286214 328921 429321 572428 657842 858642 986763 1287963 1315684 1717284 1973526 2575926 2960289 3947052 5151852 5920578 10160597 11841156 20321194 23353391 30481791 40642388 46706782 60963582 70060173 91445373 93413564 121927164 140120346 182890746 210180519 280240692 365781492 420361038 840722076 47070897547 94141795094 141212692641 188283590188 282425385282 423638077923 564850770564 847276155846 1694552311692 3342033725837 6684067451674 10026101177511 13368134903348 20052202355022 30078303532533 40104404710044 60156607065066 120313214130132