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12010021120 = 285591091459
BaseRepresentation
bin10110010111101101…
…00110000100000000
31010222222222021202001
423023312212010000
5144044031133440
65303424233344
7603422331556
oct131366460400
933888867661
1012010021120
115103386699
1223b216b854
131195262b96
1481d0a9bd6
154a459eb9a
hex2cbda6100

12010021120 has 144 divisors (see below), whose sum is σ = 29543976000. Its totient is φ = 4676050944.

The previous prime is 12010021043. The next prime is 12010021151. The reversal of 12010021120 is 2112001021.

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 = 12010021097 and 12010021106.

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, 8230951 + ... + 8232409.

It is an arithmetic number, because the mean of its divisors is an integer number (205166500).

Almost surely, 212010021120 is an apocalyptic number.

12010021120 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 12010021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14771988000).

12010021120 is an abundant number, since it is smaller than the sum of its proper divisors (17533954880).

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

12010021120 is a wasteful number, since it uses less digits than its factorization.

12010021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12010021120 its reverse (2112001021), we get a palindrome (14122022141).

The spelling of 12010021120 in words is "twelve billion, ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 109 118 128 160 218 236 256 295 320 436 472 545 590 640 872 944 1090 1180 1280 1459 1744 1888 2180 2360 2918 3488 3776 4360 4720 5836 6431 6976 7295 7552 8720 9440 11672 12862 13952 14590 15104 17440 18880 23344 25724 27904 29180 32155 34880 37760 46688 51448 58360 64310 69760 75520 86081 93376 102896 116720 128620 139520 159031 172162 186752 205792 233440 257240 318062 344324 373504 411584 430405 466880 514480 636124 688648 795155 823168 860810 933760 1028960 1272248 1377296 1590310 1646336 1721620 1867520 2057920 2544496 2754592 3180620 3443240 4115840 5088992 5509184 6361240 6886480 8231680 9382829 10177984 11018368 12722480 13772960 18765658 20355968 22036736 25444960 27545920 37531316 40711936 46914145 50889920 55091840 75062632 93828290 101779840 110183680 150125264 187656580 203559680 300250528 375313160 600501056 750626320 1201002112 1501252640 2402004224 3002505280 6005010560 12010021120