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120031232112 = 243211107708199
BaseRepresentation
bin110111111001001101…
…0110100000001110000
3102110211011221100220100
41233302122310001300
53431310443411422
6131050325512400
711446325432061
oct1576232640160
9373734840810
10120031232112
11469a5557290
121b31a272700
13b41b8010cc
145b49556568
1531c7ac47ac
hex1bf26b4070

120031232112 has 120 divisors (see below), whose sum is σ = 369884361600. Its totient is φ = 36033114240.

The previous prime is 120031232059. The next prime is 120031232119. The reversal of 120031232112 is 211232130021.

120031232112 is a `hidden beast` number, since 1 + 20 + 0 + 312 + 321 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120031232119) 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, 184612 + ... + 523587.

It is an arithmetic number, because the mean of its divisors is an integer number (3082369680).

Almost surely, 2120031232112 is an apocalyptic number.

120031232112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120031232112 is an abundant number, since it is smaller than the sum of its proper divisors (249853129488).

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

120031232112 is a wasteful number, since it uses less digits than its factorization.

120031232112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708331 (or 708322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120031232112 its reverse (211232130021), we get a palindrome (331263362133).

The spelling of 120031232112 in words is "one hundred twenty billion, thirty-one million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 107 132 144 176 198 214 264 321 396 428 528 642 792 856 963 1177 1284 1584 1712 1926 2354 2568 3531 3852 4708 5136 7062 7704 9416 10593 14124 15408 18832 21186 28248 42372 56496 84744 169488 708199 1416398 2124597 2832796 4249194 5665592 6373791 7790189 8498388 11331184 12747582 15580378 16996776 23370567 25495164 31160756 33993552 46741134 50990328 62321512 70111701 75777293 93482268 101980656 124643024 140223402 151554586 186964536 227331879 280446804 303109172 373929072 454663758 560893608 606218344 681995637 833550223 909327516 1121787216 1212436688 1363991274 1667100446 1818655032 2500650669 2727982548 3334200892 3637310064 5001301338 5455965096 6668401784 7501952007 10002602676 10911930192 13336803568 15003904014 20005205352 30007808028 40010410704 60015616056 120031232112