Search a number
-
+
120060316512 = 2532439694793
BaseRepresentation
bin110111111010000100…
…1110000101101100000
3102110220012200000012100
41233310021300231200
53431340420112022
6131053245130400
711450130565203
oct1576411605540
9373805600170
10120060316512
1146a0aa11884
121b327b59a00
13b424845406
145b4d36793a
1531ca41c1ac
hex1bf4270b60

120060316512 has 72 divisors (see below), whose sum is σ = 349361596584. Its totient is φ = 39089401344.

The previous prime is 120060316499. The next prime is 120060316543. The reversal of 120060316512 is 215613060021.

120060316512 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 6 + 0 + 3 + 1 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1200603165122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4835013 + ... + 4859780.

It is an arithmetic number, because the mean of its divisors is an integer number (4852244397).

Almost surely, 2120060316512 is an apocalyptic number.

120060316512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120060316512 is an abundant number, since it is smaller than the sum of its proper divisors (229301280072).

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

120060316512 is a wasteful number, since it uses less digits than its factorization.

120060316512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9694852 (or 9694841 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 120060316512 its reverse (215613060021), we get a palindrome (335673376533).

The spelling of 120060316512 in words is "one hundred twenty billion, sixty million, three hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 9694793 19389586 29084379 38779172 58168758 77558344 87253137 116337516 155116688 174506274 232675032 310233376 349012548 416876099 465350064 698025096 833752198 930700128 1250628297 1396050192 1667504396 2501256594 2792100384 3335008792 3751884891 5002513188 6670017584 7503769782 10005026376 13340035168 15007539564 20010052752 30015079128 40020105504 60030158256 120060316512