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12011101120 = 265172239901
BaseRepresentation
bin10110010111110101…
…01101101111000000
31011000002000011020001
423023322231233000
5144044320213440
65303503325344
7603434450344
oct131372555700
934002004201
1012011101120
115103a54057
1223b25b0854
131195550635
1481d2ab624
154a4714b9a
hex2cbeadbc0

12011101120 has 112 divisors (see below), whose sum is σ = 30422746368. Its totient is φ = 4501094400.

The previous prime is 12011101111. The next prime is 12011101139. The reversal of 12011101120 is 2110111021.

It is a super-2 number, since 2×120111011202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12011101097 and 12011101106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208170 + ... + 1218070.

It is an arithmetic number, because the mean of its divisors is an integer number (271631664).

Almost surely, 212011101120 is an apocalyptic number.

12011101120 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 12011101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211373184).

12011101120 is an abundant number, since it is smaller than the sum of its proper divisors (18411645248).

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

12011101120 is a wasteful number, since it uses less digits than its factorization.

12011101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10158 (or 10148 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12011101120 its reverse (2110111021), we get a palindrome (14121212141).

Subtracting from 12011101120 its reverse (2110111021), we obtain a palindrome (9900990099).

The spelling of 12011101120 in words is "twelve billion, eleven million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 223 272 320 340 446 544 680 892 1088 1115 1360 1784 2230 2720 3568 3791 4460 5440 7136 7582 8920 9901 14272 15164 17840 18955 19802 30328 35680 37910 39604 49505 60656 71360 75820 79208 99010 121312 151640 158416 168317 198020 242624 303280 316832 336634 396040 606560 633664 673268 792080 841585 1213120 1346536 1584160 1683170 2207923 2693072 3168320 3366340 4415846 5386144 6732680 8831692 10772288 11039615 13465360 17663384 22079230 26930720 35326768 37534691 44158460 53861440 70653536 75069382 88316920 141307072 150138764 176633840 187673455 300277528 353267680 375346910 600555056 706535360 750693820 1201110112 1501387640 2402220224 3002775280 6005550560 12011101120