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1200221221120 = 2854183275543
BaseRepresentation
bin10001011101110010110…
…000100111000100000000
311020201222110222022022021
4101131302300213010000
5124131023113033440
62315212442051224
7152466413023405
oct21356260470400
94221873868267
101200221221120
11423013653869
1217473b7a9b14
138924639218c
144213ba722ac
152134933784a
hex11772c27100

1200221221120 has 144 divisors (see below), whose sum is σ = 2980517565312. Its totient is φ = 462734213120.

The previous prime is 1200221221109. The next prime is 1200221221141. The reversal of 1200221221120 is 211221220021.

It is a happy number.

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 = 1200221221094 and 1200221221103.

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, 4218069 + ... + 4493611.

It is an arithmetic number, because the mean of its divisors is an integer number (20698038648).

Almost surely, 21200221221120 is an apocalyptic number.

1200221221120 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 1200221221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490258782656).

1200221221120 is an abundant number, since it is smaller than the sum of its proper divisors (1780296344192).

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

1200221221120 is an equidigital number, since it uses as much as digits as its factorization.

1200221221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275688 (or 275674 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1200221221120 its reverse (211221220021), we get a palindrome (1411442441141).

The spelling of 1200221221120 in words is "one trillion, two hundred billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 83 128 160 164 166 205 256 320 328 332 410 415 640 656 664 820 830 1280 1312 1328 1640 1660 2624 2656 3280 3320 3403 5248 5312 6560 6640 6806 10496 10624 13120 13280 13612 17015 21248 26240 26560 27224 34030 52480 53120 54448 68060 106240 108896 136120 217792 272240 275543 435584 544480 551086 871168 1088960 1102172 1377715 2177920 2204344 2755430 4355840 4408688 5510860 8817376 11021720 11297263 17634752 22043440 22594526 22870069 35269504 44086880 45189052 45740138 56486315 70539008 88173760 90378104 91480276 112972630 114350345 176347520 180756208 182960552 225945260 228700690 352695040 361512416 365921104 451890520 457401380 723024832 731842208 903781040 914802760 937672829 1446049664 1463684416 1807562080 1829605520 1875345658 2892099328 2927368832 3615124160 3659211040 3750691316 4688364145 5854737664 7230248320 7318422080 7501382632 9376728290 14460496640 14636844160 15002765264 18753456580 29273688320 30005530528 37506913160 60011061056 75013826320 120022122112 150027652640 240044244224 300055305280 600110610560 1200221221120