Search a number
-
+
12120535617040 = 245735873535663
BaseRepresentation
bin1011000001100000100000…
…1110000100111000010000
31120220201012222002212202001
42300120020032010320100
53042040324104221130
641440032554403344
72360452112603434
oct260301016047020
946821188085661
1012120535617040
113953321412a34
12143905aa30554
1369bc6684c8c6
142dc8cc10c9c4
15160439e276ca
hexb0608384e10

12120535617040 has 80 divisors (see below), whose sum is σ = 28614949026048. Its totient is φ = 4773652835328.

The previous prime is 12120535617031. The next prime is 12120535617053. The reversal of 12120535617040 is 4071653502121.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1660249 + ... + 5195911.

Almost surely, 212120535617040 is an apocalyptic number.

12120535617040 is a gapful number since it is divisible by the number (10) 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 12120535617040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307474513024).

12120535617040 is an abundant number, since it is smaller than the sum of its proper divisors (16494413409008).

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

12120535617040 is a wasteful number, since it uses less digits than its factorization.

12120535617040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536336 (or 3536330 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 12120535617040 in words is "twelve trillion, one hundred twenty billion, five hundred thirty-five million, six hundred seventeen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 587 730 1168 1174 1460 2348 2920 2935 4696 5840 5870 9392 11740 23480 42851 46960 85702 171404 214255 342808 428510 685616 857020 1714040 3428080 3535663 7071326 14142652 17678315 28285304 35356630 56570608 70713260 141426520 258103399 282853040 516206798 1032413596 1290516995 2064827192 2075434181 2581033990 4129654384 4150868362 5162067980 8301736724 10324135960 10377170905 16603473448 20648271920 20754341810 33206946896 41508683620 83017367240 151506695213 166034734480 303013390426 606026780852 757533476065 1212053561704 1515066952130 2424107123408 3030133904260 6060267808520 12120535617040