Search a number
-
+
120004112320 = 2651073504793
BaseRepresentation
bin110111111000011001…
…1010110111111000000
3102110202021220112112121
41233300303112333000
53431232023043240
6131043520334024
711445546060451
oct1576063267700
9373667815477
10120004112320
1146991213834
121b311174314
13b415cc70b1
145b45ad7128
1531c551904a
hex1bf0cd6fc0

120004112320 has 56 divisors (see below), whose sum is σ = 288430527024. Its totient is φ = 47553017856.

The previous prime is 120004112311. The next prime is 120004112377. The reversal of 120004112320 is 23211400021.

It is a super-2 number, since 2×1200041123202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120004112294 and 120004112303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1718157 + ... + 1786636.

Almost surely, 2120004112320 is an apocalyptic number.

120004112320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120004112320 is an abundant number, since it is smaller than the sum of its proper divisors (168426414704).

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

120004112320 is a wasteful number, since it uses less digits than its factorization.

120004112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504917 (or 3504907 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 120004112320 its reverse (23211400021), we get a palindrome (143215512341).

It can be divided in two parts, 120004 and 112320, that added together give a square (232324 = 4822).

The spelling of 120004112320 in words is "one hundred twenty billion, four million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 320 428 535 856 1070 1712 2140 3424 4280 6848 8560 17120 34240 3504793 7009586 14019172 17523965 28038344 35047930 56076688 70095860 112153376 140191720 224306752 280383440 375012851 560766880 750025702 1121533760 1500051404 1875064255 3000102808 3750128510 6000205616 7500257020 12000411232 15000514040 24000822464 30001028080 60002056160 120004112320