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212100121222020 = 22335392778002263
BaseRepresentation
bin110000001110011101101000…
…011000011101101110000100
31000210222120111010110012222000
4300032131220120131232010
5210300022022013101040
62031033241152505300
762450504504556513
oct6016355030355604
91023876433405860
10212100121222020
1161644179a9a139
121b95651154b230
139146c566223b5
143a539b47ba67a
15197c326b92130
hexc0e76861db84

212100121222020 has 48 divisors (see below), whose sum is σ = 659867043803520. Its totient is φ = 56560032325728.

The previous prime is 212100121222009. The next prime is 212100121222039. The reversal of 212100121222020 is 20222121001212.

It is a happy number.

212100121222020 is a `hidden beast` number, since 2 + 1 + 210 + 0 + 1 + 212 + 220 + 20 = 666.

It is a super-2 number, since 2×2121001212220202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212100121221984 and 212100121222002.

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, 196389000592 + ... + 196389001671.

It is an arithmetic number, because the mean of its divisors is an integer number (13747230079240).

Almost surely, 2212100121222020 is an apocalyptic number.

212100121222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100121222020 is an abundant number, since it is smaller than the sum of its proper divisors (447766922581500).

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

212100121222020 is a wasteful number, since it uses less digits than its factorization.

212100121222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392778002281 (or 392778002273 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212100121222020 its reverse (20222121001212), we get a palindrome (232322242223232).

The spelling of 212100121222020 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 392778002263 785556004526 1178334006789 1571112009052 1963890011315 2356668013578 3535002020367 3927780022630 4713336027156 5891670033945 7070004040734 7855560045260 10605006061101 11783340067890 14140008081468 17675010101835 21210012122202 23566680135780 35350020203670 42420024244404 53025030305505 70700040407340 106050060611010 212100121222020