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12120012320 = 2551335916231
BaseRepresentation
bin10110100100110100…
…01011011000100000
31011021122221102022012
423102122023120200
5144310210343240
65322353532052
7606226255613
oct132232133040
934248842265
1012120012320
11515a481709
122422b74028
1311b1c94230
1482d93c17a
154ae079b65
hex2d268b620

12120012320 has 96 divisors (see below), whose sum is σ = 30923907840. Its totient is φ = 4462341120.

The previous prime is 12120012319. The next prime is 12120012323. The reversal of 12120012320 is 2321002121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12120012295 and 12120012304.

It is not an unprimeable number, because it can be changed into a prime (12120012323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738605 + ... + 754835.

It is an arithmetic number, because the mean of its divisors is an integer number (322124040).

Almost surely, 212120012320 is an apocalyptic number.

12120012320 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 12120012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461953920).

12120012320 is an abundant number, since it is smaller than the sum of its proper divisors (18803895520).

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

12120012320 is a wasteful number, since it uses less digits than its factorization.

12120012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16618 (or 16610 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12120012320 its reverse (2321002121), we get a palindrome (14441014441).

The spelling of 12120012320 in words is "twelve billion, one hundred twenty million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 359 416 520 718 1040 1436 1795 2080 2872 3590 4667 5744 7180 9334 11488 14360 16231 18668 23335 28720 32462 37336 46670 57440 64924 74672 81155 93340 129848 149344 162310 186680 211003 259696 324620 373360 422006 519392 649240 746720 844012 1055015 1298480 1688024 2110030 2596960 3376048 4220060 5826929 6752096 8440120 11653858 16880240 23307716 29134645 33760480 46615432 58269290 75750077 93230864 116538580 151500154 186461728 233077160 303000308 378750385 466154320 606000616 757500770 932308640 1212001232 1515001540 2424002464 3030003080 6060006160 12120012320