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12021122210020 = 22571147909118269
BaseRepresentation
bin1010111011101110001010…
…1110000001100011100100
31120120012121200020112210021
42232323202232001203210
53033423224241210040
641322232144204524
72350332420564520
oct256734256014344
946505550215707
1012021122210020
113915147108920
121421935609744
13692782723501
142d7b7ad44d80
1515ca6c45d24a
hexaeee2b818e4

12021122210020 has 192 divisors, whose sum is σ = 32148427530240. Its totient is φ = 3666519129600.

The previous prime is 12021122209981. The next prime is 12021122210023. The reversal of 12021122210020 is 2001222112021.

It is a happy number.

12021122210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120211222100202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12021122209976 and 12021122210003.

It is not an unprimeable number, because it can be changed into a prime (12021122210023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 657997446 + ... + 658015714.

It is an arithmetic number, because the mean of its divisors is an integer number (167439726720).

Almost surely, 212021122210020 is an apocalyptic number.

12021122210020 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 12021122210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074213765120).

12021122210020 is an abundant number, since it is smaller than the sum of its proper divisors (20127305320220).

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

12021122210020 is a wasteful number, since it uses less digits than its factorization.

12021122210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27434 (or 27432 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12021122210020 its reverse (2001222112021), we get a palindrome (14022344322041).

The spelling of 12021122210020 in words is "twelve trillion, twenty-one billion, one hundred twenty-two million, two hundred ten thousand, twenty".