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12121000100220 = 22351118365151667
BaseRepresentation
bin1011000001100010001111…
…1001111100000101111100
31120220202102100010001212210
42300120203321330011330
53042042302011201340
641440151030100420
72360466452624004
oct260304371740574
946822370101783
1012121000100220
11395353a621030
12143916a4aa710
1369c00bb4a91b
142dc933a9b004
15160465ac7180
hexb0623e7c17c

12121000100220 has 48 divisors (see below), whose sum is σ = 37024145762688. Its totient is φ = 2938424266560.

The previous prime is 12121000100207. The next prime is 12121000100221. The reversal of 12121000100220 is 2200100012121.

12121000100220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12121000100196 and 12121000100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121000100221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9182575174 + ... + 9182576493.

It is an arithmetic number, because the mean of its divisors is an integer number (771336370056).

Almost surely, 212121000100220 is an apocalyptic number.

12121000100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121000100220 is an abundant number, since it is smaller than the sum of its proper divisors (24903145662468).

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

12121000100220 is a wasteful number, since it uses less digits than its factorization.

12121000100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18365151690 (or 18365151688 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12121000100220 its reverse (2200100012121), we get a palindrome (14321100112341).

The spelling of 12121000100220 in words is "twelve trillion, one hundred twenty-one billion, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 18365151667 36730303334 55095455001 73460606668 91825758335 110190910002 183651516670 202016668337 220381820004 275477275005 367303033340 404033336674 550954550010 606050005011 808066673348 1010083341685 1101909100020 1212100010022 2020166683370 2424200020044 3030250025055 4040333366740 6060500050110 12121000100220