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12022212211220 = 225601110610561
BaseRepresentation
bin1010111011110010001110…
…1100000011001000010100
31120120022102122021100100002
42232330203230003020110
53033432442311224340
641322532242510432
72350401424464551
oct256744354031024
946508378240302
1012022212211220
113915656413962
121421b9a665418
136928c74b3033
142d7c419dda28
1515cad2ebb715
hexaef23b03214

12022212211220 has 12 divisors (see below), whose sum is σ = 25246645643604. Its totient is φ = 4808884884480.

The previous prime is 12022212211193. The next prime is 12022212211249. The reversal of 12022212211220 is 2211221222021.

It can be written as a sum of positive squares in 2 ways, for example, as 1887425354896 + 10134786856324 = 1373836^2 + 3183518^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 601110610561 = 12022212211220 / (1 + 2 + 0 + 2 + 2 + 2 + 1 + 2 + 2 + 1 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 12022212211192 and 12022212211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 300555305261 + ... + 300555305300.

It is an arithmetic number, because the mean of its divisors is an integer number (2103887136967).

Almost surely, 212022212211220 is an apocalyptic number.

12022212211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022212211220 is an abundant number, since it is smaller than the sum of its proper divisors (13224433432384).

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

12022212211220 is a wasteful number, since it uses less digits than its factorization.

12022212211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601110610570 (or 601110610568 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12022212211220 its reverse (2211221222021), we get a palindrome (14233433433241).

The spelling of 12022212211220 in words is "twelve trillion, twenty-two billion, two hundred twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 601110610561 1202221221122 2404442442244 3005553052805 6011106105610 12022212211220