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120132112344 = 23321143354787
BaseRepresentation
bin110111111100001101…
…1101000111111011000
3102111002012202121120020
41233320123220333120
53432012310043334
6131104332030440
711451662051406
oct1577033507730
9374065677506
10120132112344
1146a4749a082
121b348002420
13b43669245a
145b58ad6476
1531d189ee49
hex1bf86e8fd8

120132112344 has 64 divisors (see below), whose sum is σ = 302456058240. Its totient is φ = 39761487360.

The previous prime is 120132112343. The next prime is 120132112409. The reversal of 120132112344 is 443211231021.

120132112344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120132112343) 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 15 ways as a sum of consecutive naturals, for example, 2165319 + ... + 2220105.

It is an arithmetic number, because the mean of its divisors is an integer number (4725875910).

Almost surely, 2120132112344 is an apocalyptic number.

It is an amenable number.

120132112344 is an abundant number, since it is smaller than the sum of its proper divisors (182323945896).

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

120132112344 is a wasteful number, since it uses less digits than its factorization.

120132112344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55440 (or 55436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 120132112344 its reverse (443211231021), we get a palindrome (563343343365).

The spelling of 120132112344 in words is "one hundred twenty billion, one hundred thirty-two million, one hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 211 422 433 633 844 866 1266 1299 1688 1732 2532 2598 3464 5064 5196 10392 54787 91363 109574 164361 182726 219148 274089 328722 365452 438296 548178 657444 730904 1096356 1314888 2192712 11560057 23120114 23722771 34680171 46240228 47445542 69360342 71168313 92480456 94891084 138720684 142336626 189782168 277441368 284673252 569346504 5005504681 10011009362 15016514043 20022018724 30033028086 40044037448 60066056172 120132112344