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12021022121220 = 22325729427376991
BaseRepresentation
bin1010111011101101110011…
…0000001101110100000100
31120120012100200220111202200
42232323130300031310010
53033423023130334340
641322214211034500
72350330064052450
oct256733460156404
946505320814680
1012021022121220
1139150a5666702
121421907b9ba30
13692767a7b478
142d7b6b92d660
1515ca6378c330
hexaeedcc0dd04

12021022121220 has 288 divisors, whose sum is σ = 43120521400320. Its totient is φ = 2652259921920.

The previous prime is 12021022121113. The next prime is 12021022121239. The reversal of 12021022121220 is 2212122012021.

It is a happy number.

12021022121220 is a `hidden beast` number, since 1 + 2 + 0 + 210 + 221 + 212 + 20 = 666.

12021022121220 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 = 12021022121193 and 12021022121202.

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, 156096925 + ... + 156173915.

It is an arithmetic number, because the mean of its divisors is an integer number (149724032640).

Almost surely, 212021022121220 is an apocalyptic number.

12021022121220 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 12021022121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21560260700160).

12021022121220 is an abundant number, since it is smaller than the sum of its proper divisors (31099499279100).

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

12021022121220 is a wasteful number, since it uses less digits than its factorization.

12021022121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81315 (or 81310 counting only the distinct ones).

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

Adding to 12021022121220 its reverse (2212122012021), we get a palindrome (14233144133241).

The spelling of 12021022121220 in words is "twelve trillion, twenty-one billion, twenty-two million, one hundred twenty-one thousand, two hundred twenty".