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12302139120 = 2435791514297
BaseRepresentation
bin10110111010100001…
…11011111011110000
31011202100122102022020
423131100323323300
5200143321422440
65352421311440
7613600312545
oct133520737360
934670572266
1012302139120
115243267227
122473b65580
13121093117b
14849bcabcc
154c00533d0
hex2dd43bef0

12302139120 has 160 divisors (see below), whose sum is σ = 38884177920. Its totient is φ = 3216844800.

The previous prime is 12302139103. The next prime is 12302139121. The reversal of 12302139120 is 2193120321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12302139121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2860812 + ... + 2865108.

It is an arithmetic number, because the mean of its divisors is an integer number (243026112).

Almost surely, 212302139120 is an apocalyptic number.

12302139120 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 12302139120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19442088960).

12302139120 is an abundant number, since it is smaller than the sum of its proper divisors (26582038800).

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

12302139120 is a wasteful number, since it uses less digits than its factorization.

12302139120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4537 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 12302139120 its reverse (2193120321), we get a palindrome (14495259441).

The spelling of 12302139120 in words is "twelve billion, three hundred two million, one hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 151 158 237 240 302 316 395 453 474 604 632 755 790 906 948 1185 1208 1264 1510 1580 1812 1896 2265 2370 2416 3020 3160 3624 3792 4297 4530 4740 6040 6320 7248 8594 9060 9480 11929 12080 12891 17188 18120 18960 21485 23858 25782 34376 35787 36240 42970 47716 51564 59645 64455 68752 71574 85940 95432 103128 119290 128910 143148 171880 178935 190864 206256 238580 257820 286296 339463 343760 357870 477160 515640 572592 648847 678926 715740 954320 1018389 1031280 1297694 1357852 1431480 1697315 1946541 2036778 2595388 2715704 2862960 3244235 3394630 3893082 4073556 5091945 5190776 5431408 6488470 6789260 7786164 8147112 9732705 10183890 10381552 12976940 13578520 15572328 16294224 19465410 20367780 25953880 27157040 31144656 38930820 40735560 51258913 51907760 77861640 81471120 102517826 153776739 155723280 205035652 256294565 307553478 410071304 512589130 615106956 768883695 820142608 1025178260 1230213912 1537767390 2050356520 2460427824 3075534780 4100713040 6151069560 12302139120