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12300112032 = 2531326071249
BaseRepresentation
bin10110111010010010…
…01101000010100000
31011202012211102122220
423131021031002200
5200142312041112
65352310031040
7613544140635
oct133511150240
934665742586
1012300112032
11524210224a
122473348480
1312103a1600
1484982018c
154beca298c
hex2dd24d0a0

12300112032 has 144 divisors (see below), whose sum is σ = 35048160000. Its totient is φ = 3775389696.

The previous prime is 12300112001. The next prime is 12300112087. The reversal of 12300112032 is 23021100321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9847344 + ... + 9848592.

It is an arithmetic number, because the mean of its divisors is an integer number (243390000).

Almost surely, 212300112032 is an apocalyptic number.

12300112032 is a gapful number since it is divisible by the number (12) 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 12300112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17524080000).

12300112032 is an abundant number, since it is smaller than the sum of its proper divisors (22748047968).

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

12300112032 is a wasteful number, since it uses less digits than its factorization.

12300112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12300112032 its reverse (23021100321), we get a palindrome (35321212353).

The spelling of 12300112032 in words is "twelve billion, three hundred million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 607 624 676 1014 1214 1248 1249 1352 1821 2028 2428 2498 2704 3642 3747 4056 4856 4996 5408 7284 7494 7891 8112 9712 9992 14568 14988 15782 16224 16237 19424 19984 23673 29136 29976 31564 32474 39968 47346 48711 58272 59952 63128 64948 94692 97422 102583 119904 126256 129896 189384 194844 205166 211081 252512 259792 307749 378768 389688 410332 422162 519584 615498 633243 757536 758143 779376 820664 844324 1230996 1266486 1516286 1558752 1641328 1688648 2274429 2461992 2532972 3032572 3282656 3377296 4548858 4923984 5065944 6065144 6754592 9097716 9847968 9855859 10131888 12130288 18195432 19711718 20263776 24260576 29567577 36390864 39423436 59135154 72781728 78846872 118270308 128126167 157693744 236540616 256252334 315387488 384378501 473081232 512504668 768757002 946162464 1025009336 1537514004 2050018672 3075028008 4100037344 6150056016 12300112032