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12202021222020 = 223257127290326267
BaseRepresentation
bin1011000110010000000100…
…1000111111011010000100
31121012111112211122111122200
42301210001020333122010
53044404214413101040
641541310421554500
72366365314040050
oct261440110773204
947174484574580
1012202021222020
113984936968023
121450a00275a30
136a68516a6806
1430281c2c0c60
15162608a4a630
hexb190123f684

12202021222020 has 288 divisors, whose sum is σ = 42649723404288. Its totient is φ = 2766014044416.

The previous prime is 12202021221967. The next prime is 12202021222051. The reversal of 12202021222020 is 2022212020221.

12202021222020 is a `hidden beast` number, since 1 + 220 + 202 + 1 + 2 + 220 + 20 = 666.

It is a super-3 number, since 3×122020212220203 (a number of 40 digits) contains 333 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 = 12202021221984 and 12202021222002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 464524927 + ... + 464551193.

It is an arithmetic number, because the mean of its divisors is an integer number (148089317376).

Almost surely, 212202021222020 is an apocalyptic number.

12202021222020 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 12202021222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21324861702144).

12202021222020 is an abundant number, since it is smaller than the sum of its proper divisors (30447702182268).

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

12202021222020 is a wasteful number, since it uses less digits than its factorization.

12202021222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29319 (or 29314 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12202021222020 its reverse (2022212020221), we get a palindrome (14224233242241).

The spelling of 12202021222020 in words is "twelve trillion, two hundred two billion, twenty-one million, two hundred twenty-two thousand, twenty".