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12120121121220 = 223357101139353647
BaseRepresentation
bin1011000001011110111110…
…0000111001100111000100
31120220200011002011022101000
42300113233200321213010
53042034002001334340
641435523510333300
72360435620466010
oct260275740714704
946820132138330
1012120121121220
113953129447102
121438b6405a230
1369bbcba042c8
142dc88d053540
1516041384dd30
hexb05ef8399c4

12120121121220 has 768 divisors, whose sum is σ = 44025646694400. Its totient is φ = 2711240294400.

The previous prime is 12120121121219. The next prime is 12120121121237. The reversal of 12120121121220 is 2212112102121.

12120121121220 is a `hidden beast` number, since 1 + 21 + 201 + 211 + 212 + 20 = 666.

12120121121220 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 = 12120121121193 and 12120121121202.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18732798937 + ... + 18732799583.

It is an arithmetic number, because the mean of its divisors is an integer number (57325060800).

Almost surely, 212120121121220 is an apocalyptic number.

12120121121220 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 12120121121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22012823347200).

12120121121220 is an abundant number, since it is smaller than the sum of its proper divisors (31905525573180).

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

12120121121220 is a wasteful number, since it uses less digits than its factorization.

12120121121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12120121121220 its reverse (2212112102121), we get a palindrome (14332233223341).

The spelling of 12120121121220 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-one million, one hundred twenty-one thousand, two hundred twenty".