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12122012221020 = 223251361199342611
BaseRepresentation
bin1011000001100110000000…
…1110110111111001011100
31120220212000212121010121100
42300121200032313321130
53042101340112033040
641440435303233100
72360533522536342
oct260314016677134
946825025533540
1012122012221020
113953a099733a9
1214393b1448790
1369c14073ca80
142dc9cc281992
151604c489eb30
hexb06603b7e5c

12122012221020 has 288 divisors, whose sum is σ = 40268869752384. Its totient is φ = 2933422387200.

The previous prime is 12122012221013. The next prime is 12122012221043. The reversal of 12122012221020 is 2012221022121.

It is a happy number.

12122012221020 is a `hidden beast` number, since 1 + 212 + 201 + 22 + 210 + 20 = 666.

12122012221020 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 12122012220984 and 12122012221002.

It is a congruent number.

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, 284459515 + ... + 284502125.

It is an arithmetic number, because the mean of its divisors is an integer number (139822464418).

Almost surely, 212122012221020 is an apocalyptic number.

12122012221020 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 12122012221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20134434876192).

12122012221020 is an abundant number, since it is smaller than the sum of its proper divisors (28146857531364).

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

12122012221020 is a wasteful number, since it uses less digits than its factorization.

12122012221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44693 (or 44688 counting only the distinct ones).

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

Adding to 12122012221020 its reverse (2012221022121), we get a palindrome (14134233243141).

The spelling of 12122012221020 in words is "twelve trillion, one hundred twenty-two billion, twelve million, two hundred twenty-one thousand, twenty".