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12001081120 = 255710715251
BaseRepresentation
bin10110010110101000…
…11111011100100000
31010222101011002100221
423023110133130200
5144034234043440
65302504452424
7603253335460
oct131324373440
933871132327
1012001081120
1150a932a966
1223ab17a114
131193452942
1481bc1dba0
154a38d5d4a
hex2cb51f720

12001081120 has 48 divisors (see below), whose sum is σ = 32402922048. Its totient is φ = 4114656000.

The previous prime is 12001081073. The next prime is 12001081187. The reversal of 12001081120 is 2118010021.

12001081120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 12001081094 and 12001081103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5356506 + ... + 5358745.

It is an arithmetic number, because the mean of its divisors is an integer number (675060876).

Almost surely, 212001081120 is an apocalyptic number.

12001081120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001081120 is an abundant number, since it is smaller than the sum of its proper divisors (20401840928).

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

12001081120 is a wasteful number, since it uses less digits than its factorization.

12001081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10715273 (or 10715265 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12001081120 its reverse (2118010021), we get a palindrome (14119091141).

The spelling of 12001081120 in words is "twelve billion, one million, eighty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 10715251 21430502 42861004 53576255 75006757 85722008 107152510 150013514 171444016 214305020 300027028 342888032 375033785 428610040 600054056 750067570 857220080 1200108112 1500135140 1714440160 2400216224 3000270280 6000540560 12001081120