Search a number
-
+
12341501120 = 2651323912413
BaseRepresentation
bin10110111111001110…
…00101110011000000
31011212002201012211002
423133213011303000
5200233411013440
65400345111132
7614556012554
oct133747056300
934762635732
1012341501120
115263501503
1224851884a8
131218b334b0
14851115864
154c372b115
hex2df9c5cc0

12341501120 has 112 divisors (see below), whose sum is σ = 31783812480. Its totient is φ = 4537430016.

The previous prime is 12341501111. The next prime is 12341501147. The reversal of 12341501120 is 2110514321.

It is a super-2 number, since 2×123415011202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12341501092 and 12341501101.

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, 988034 + ... + 1000446.

It is an arithmetic number, because the mean of its divisors is an integer number (283784040).

Almost surely, 212341501120 is an apocalyptic number.

12341501120 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 12341501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891906240).

12341501120 is an abundant number, since it is smaller than the sum of its proper divisors (19442311360).

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

12341501120 is a wasteful number, since it uses less digits than its factorization.

12341501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12682 (or 12672 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 12341501120 in words is "twelve billion, three hundred forty-one million, five hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 239 260 320 416 478 520 832 956 1040 1195 1912 2080 2390 3107 3824 4160 4780 6214 7648 9560 12413 12428 15296 15535 19120 24826 24856 31070 38240 49652 49712 62065 62140 76480 99304 99424 124130 124280 161369 198608 198848 248260 248560 322738 397216 496520 497120 645476 794432 806845 993040 994240 1290952 1613690 1986080 2581904 2966707 3227380 3972160 5163808 5933414 6454760 10327616 11866828 12909520 14833535 23733656 25819040 29667070 38567191 47467312 51638080 59334140 77134382 94934624 118668280 154268764 189869248 192835955 237336560 308537528 385671910 474673120 617075056 771343820 949346240 1234150112 1542687640 2468300224 3085375280 6170750560 12341501120