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12042343104 = 2631111350459
BaseRepresentation
bin10110011011100011…
…11001001011000000
31011002020210102011120
423031301321023000
5144130314434404
65310541112240
7604264141011
oct131561711300
934066712146
1012042343104
11511a652680
122400b58680
13119bb6ba0c
148234c1008
154a73369d9
hex2cdc792c0

12042343104 has 112 divisors (see below), whose sum is σ = 35066874240. Its totient is φ = 3616829440.

The previous prime is 12042343097. The next prime is 12042343109. The reversal of 12042343104 is 40134324021.

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

It is not an unprimeable number, because it can be changed into a prime (12042343109) 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, 213427 + ... + 263885.

Almost surely, 212042343104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17533437120).

12042343104 is an abundant number, since it is smaller than the sum of its proper divisors (23024531136).

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

12042343104 is a wasteful number, since it uses less digits than its factorization.

12042343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50598 (or 50588 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12042343104 its reverse (40134324021), we get a palindrome (52176667125).

The spelling of 12042343104 in words is "twelve billion, forty-two million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 113 132 176 192 226 264 339 352 452 528 678 704 904 1056 1243 1356 1808 2112 2486 2712 3616 3729 4972 5424 7232 7458 9944 10848 14916 19888 21696 29832 39776 50459 59664 79552 100918 119328 151377 201836 238656 302754 403672 555049 605508 807344 1110098 1211016 1614688 1665147 2220196 2422032 3229376 3330294 4440392 4844064 5701867 6660588 8880784 9688128 11403734 13321176 17105601 17761568 22807468 26642352 34211202 35523136 45614936 53284704 62720537 68422404 91229872 106569408 125441074 136844808 182459744 188161611 250882148 273689616 364919488 376323222 501764296 547379232 752646444 1003528592 1094758464 1505292888 2007057184 3010585776 4014114368 6021171552 12042343104