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12002220001020 = 22351632657346183
BaseRepresentation
bin1010111010100111110000…
…0011110100011011111100
31120111101211100101211200110
42232221330003310123330
53033121021310013040
641305424352230020
72346063125503464
oct256517403643374
946441740354613
1012002220001020
113908127325497
12141a13b23b310
13690a5c604c62
142d6ca6784ba4
1515c312c8d980
hexaea7c0f46fc

12002220001020 has 96 divisors (see below), whose sum is σ = 33814393708032. Its totient is φ = 3180767885568.

The previous prime is 12002220000983. The next prime is 12002220001033. The reversal of 12002220001020 is 2010002220021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12002220000987 and 12002220001005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259860849 + ... + 259907031.

It is an arithmetic number, because the mean of its divisors is an integer number (352233267792).

Almost surely, 212002220001020 is an apocalyptic number.

12002220001020 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 12002220001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16907196854016).

12002220001020 is an abundant number, since it is smaller than the sum of its proper divisors (21812173707012).

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

12002220001020 is a wasteful number, since it uses less digits than its factorization.

12002220001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72931 (or 72929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002220001020 its reverse (2010002220021), we get a palindrome (14012222221041).

The spelling of 12002220001020 in words is "twelve trillion, two billion, two hundred twenty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1630 1956 2445 3260 4890 9780 26573 46183 53146 79719 92366 106292 132865 138549 159438 184732 230915 265730 277098 318876 398595 461830 531460 554196 692745 797190 923660 1385490 1594380 2770980 4331399 7527829 8662798 12994197 15055658 17325596 21656995 22583487 25988394 30111316 37639145 43313990 45166974 51976788 64970985 75278290 86627980 90333948 112917435 129941970 150556580 225834870 259883940 451669740 1227220859 2454441718 3681662577 4908883436 6136104295 7363325154 12272208590 14726650308 18408312885 24544417180 36816625770 73633251540 200037000017 400074000034 600111000051 800148000068 1000185000085 1200222000102 2000370000170 2400444000204 3000555000255 4000740000340 6001110000510 12002220001020