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12441132120 = 2335178358147
BaseRepresentation
bin10111001011000110…
…01001110001011000
31012010001011222212010
423211203021301120
5200434412211440
65414304345520
7620205610134
oct134543116130
935101158763
1012441132120
11530477077a
1224b26152a0
131233678051
1486044c3c4
154cc35b580
hex2e58c9c58

12441132120 has 64 divisors (see below), whose sum is σ = 37344971520. Its totient is φ = 3315717504.

The previous prime is 12441132043. The next prime is 12441132131. The reversal of 12441132120 is 2123114421.

It is a congruent number.

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, 184887 + ... + 243033.

It is an arithmetic number, because the mean of its divisors is an integer number (583515180).

Almost surely, 212441132120 is an apocalyptic number.

12441132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12441132120 is an abundant number, since it is smaller than the sum of its proper divisors (24903839400).

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

12441132120 is a wasteful number, since it uses less digits than its factorization.

12441132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59944 (or 59940 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12441132120 its reverse (2123114421), we get a palindrome (14564246541).

The spelling of 12441132120 in words is "twelve billion, four hundred forty-one million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1783 3566 5349 7132 8915 10698 14264 17830 21396 26745 35660 42792 53490 58147 71320 106980 116294 174441 213960 232588 290735 348882 465176 581470 697764 872205 1162940 1395528 1744410 2325880 3488820 6977640 103676101 207352202 311028303 414704404 518380505 622056606 829408808 1036761010 1244113212 1555141515 2073522020 2488226424 3110283030 4147044040 6220566060 12441132120