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120982931712 = 2832251209203
BaseRepresentation
bin111000010101100100…
…1010000100100000000
3102120021111201201022200
41300223021100210000
53440233112303322
6131325004033200
711512032644346
oct1605311204400
9376244651280
10120982931712
1147343790285
121b544b32800
13b540a29676
145bd9acd996
1532314148ac
hex1c2b250900

120982931712 has 108 divisors (see below), whose sum is σ = 350215027344. Its totient is φ = 40166784000.

The previous prime is 120982931551. The next prime is 120982931717. The reversal of 120982931712 is 217139289021.

120982931712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×1209829317125 (a number of 57 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (120982931717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 473703 + ... + 682905.

Almost surely, 2120982931712 is an apocalyptic number.

120982931712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120982931712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175107513672).

120982931712 is an abundant number, since it is smaller than the sum of its proper divisors (229232095632).

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

120982931712 is a wasteful number, since it uses less digits than its factorization.

120982931712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209476 (or 209459 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 120982931712 in words is "one hundred twenty billion, nine hundred eighty-two million, nine hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 251 256 288 384 502 576 753 768 1004 1152 1506 2008 2259 2304 3012 4016 4518 6024 8032 9036 12048 16064 18072 24096 32128 36144 48192 64256 72288 96384 144576 192768 209203 289152 418406 578304 627609 836812 1255218 1673624 1882827 2510436 3347248 3765654 5020872 6694496 7531308 10041744 13388992 15062616 20083488 26777984 30125232 40166976 52509953 53555968 60250464 80333952 105019906 120500928 157529859 160667904 210039812 241001856 315059718 420079624 472589577 482003712 630119436 840159248 945179154 1260238872 1680318496 1890358308 2520477744 3360636992 3780716616 5040955488 6721273984 7561433232 10081910976 13442547968 15122866464 20163821952 30245732928 40327643904 60491465856 120982931712