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1200021110020 = 225172331787797
BaseRepresentation
bin10001011101100110110…
…101001111110100000100
311020201110112102121111001
4101131212311033310010
5124130120401010040
62315140533023044
7152461433064205
oct21354665176404
94221415377431
101200021110020
11422a206a5397
121746a4784a84
1389213a99445
144211d2615ac
15213369aa59a
hex11766d4fd04

1200021110020 has 144 divisors (see below), whose sum is σ = 2691874809792. Its totient is φ = 449271060480.

The previous prime is 1200021109999. The next prime is 1200021110023. The reversal of 1200021110020 is 200111200021.

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 = 1200021109979 and 1200021110006.

It is not an unprimeable number, because it can be changed into a prime (1200021110023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1505672262 + ... + 1505673058.

It is an arithmetic number, because the mean of its divisors is an integer number (18693575068).

Almost surely, 21200021110020 is an apocalyptic number.

1200021110020 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 1200021110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345937404896).

1200021110020 is an abundant number, since it is smaller than the sum of its proper divisors (1491853699772).

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

1200021110020 is a wasteful number, since it uses less digits than its factorization.

1200021110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1939 counting only the distinct ones).

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

Adding to 1200021110020 its reverse (200111200021), we get a palindrome (1400132310041).

Subtracting from 1200021110020 its reverse (200111200021), we obtain a palindrome (999909909999).

The spelling of 1200021110020 in words is "one trillion, two hundred billion, twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 331 340 578 662 787 797 1156 1324 1445 1574 1594 1655 2890 3148 3188 3310 3935 3985 5627 5780 6620 7870 7970 11254 13379 13549 15740 15940 22508 26758 27098 28135 53516 54196 56270 66895 67745 95659 112540 133790 135490 191318 227443 230333 260497 263807 267580 270980 382636 454886 460666 478295 520994 527614 627239 909772 921332 956590 1041988 1055228 1137215 1151665 1254478 1302485 1319035 1913180 2274430 2303330 2508956 2604970 2638070 3136195 4428449 4484719 4548860 4606660 5209940 5276140 6272390 8856898 8969438 10663063 12544780 17713796 17938876 21326126 22142245 22423595 42652252 44284490 44847190 53315315 75283633 76240223 88568980 89694380 106630630 150567266 152480446 181272071 207616109 213261260 301134532 304960892 362544142 376418165 381201115 415232218 725088284 752836330 762402230 830464436 906360355 1038080545 1505672660 1524804460 1812720710 2076161090 3529473853 3625441420 4152322180 7058947706 14117895412 17647369265 35294738530 60001055501 70589477060 120002111002 240004222004 300005277505 600010555010 1200021110020