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12212121220020 = 22325180133766453
BaseRepresentation
bin1011000110110101101100…
…1001011011001110110100
31121020110121201120120020200
42301231123021123032310
53100040411013020040
641550100540000500
72400203514435261
oct261553311331664
947213551516220
1012212121220020
11398914a072007
12145295a830130
136a77a10068a7
143030d9834268
151629ea5ac630
hexb1b5b25b3b4

12212121220020 has 72 divisors (see below), whose sum is σ = 37045500686376. Its totient is φ = 3256384004352.

The previous prime is 12212121219989. The next prime is 12212121220021. The reversal of 12212121220020 is 2002212121221.

It is a happy number.

12212121220020 is a `hidden beast` number, since 1 + 221 + 212 + 12 + 200 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7724519607204 + 4487601612816 = 2779302^2 + 2118396^2 .

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 = 12212121219975 and 12212121220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212121220021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1359114 + ... + 5125566.

Almost surely, 212212121220020 is an apocalyptic number.

12212121220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212121220020 is an abundant number, since it is smaller than the sum of its proper divisors (24833379466356).

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

12212121220020 is a wasteful number, since it uses less digits than its factorization.

12212121220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784481 (or 3784476 counting only the distinct ones).

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

Adding to 12212121220020 its reverse (2002212121221), we get a palindrome (14214333341241).

The spelling of 12212121220020 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18013 36026 54039 72052 90065 108078 162117 180130 216156 270195 324234 360260 540390 648468 810585 1080780 1621170 3242340 3766453 7532906 11299359 15065812 18832265 22598718 33898077 37664530 45197436 56496795 67796154 75329060 112993590 135592308 169490385 225987180 338980770 677961540 67845117889 135690235778 203535353667 271380471556 339225589445 407070707334 610606061001 678451178890 814141414668 1017676768335 1221212122002 1356902357780 2035353536670 2442424244004 3053030305005 4070707073340 6106060610010 12212121220020