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2120021221120 = 285111011490789
BaseRepresentation
bin11110110110011011000…
…111001001111100000000
321111200010220221121100221
4132312123013021330000
5234213300413033440
64301531352152424
7306111050023435
oct36663307117400
97450126847327
102120021221120
1174810678a720
122a2a5a998714
13124bbcc6b8ca
147487695bb8c
153a22ec75d4a
hex1ed9b1c9f00

2120021221120 has 144 divisors (see below), whose sum is σ = 5594612859360. Its totient is φ = 763283456000.

The previous prime is 2120021221103. The next prime is 2120021221139. The reversal of 2120021221120 is 211221200212.

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 = 2120021221094 and 2120021221103.

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, 676686 + ... + 2167474.

It is an arithmetic number, because the mean of its divisors is an integer number (38851478190).

Almost surely, 22120021221120 is an apocalyptic number.

2120021221120 is a gapful number since it is divisible by the number (20) 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 2120021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797306429680).

2120021221120 is an abundant number, since it is smaller than the sum of its proper divisors (3474591638240).

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

2120021221120 is a wasteful number, since it uses less digits than its factorization.

2120021221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490922 (or 1490908 counting only the distinct ones).

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

Adding to 2120021221120 its reverse (211221200212), we get a palindrome (2331242421332).

The spelling of 2120021221120 in words is "two trillion, one hundred twenty billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 101 110 128 160 176 202 220 256 320 352 404 440 505 640 704 808 880 1010 1111 1280 1408 1616 1760 2020 2222 2816 3232 3520 4040 4444 5555 6464 7040 8080 8888 11110 12928 14080 16160 17776 22220 25856 32320 35552 44440 64640 71104 88880 129280 142208 177760 284416 355520 711040 1422080 1490789 2981578 5963156 7453945 11926312 14907890 16398679 23852624 29815780 32797358 47705248 59631560 65594716 81993395 95410496 119263120 131189432 150569689 163986790 190820992 238526240 262378864 301139378 327973580 381641984 477052480 524757728 602278756 655947160 752848445 954104960 1049515456 1204557512 1311894320 1505696890 1656266579 1908209920 2099030912 2409115024 2623788640 3011393780 3312533158 4198061824 4818230048 5247577280 6022787560 6625066316 8281332895 9636460096 10495154560 12045575120 13250132632 16562665790 19272920192 20990309120 24091150240 26500265264 33125331580 38545840384 48182300480 53000530528 66250663160 96364600960 106001061056 132501326320 192729201920 212002122112 265002652640 424004244224 530005305280 1060010610560 2120021221120