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12121201121220 = 223351711631135333
BaseRepresentation
bin1011000001100010111111…
…1000110001011111000100
31120220202221100100222212000
42300120233320301133010
53042043204441334340
641440223010425300
72360504443363032
oct260305770613704
946822840328760
1012121201121220
113953633041094
121439205892230
1369c0416a1869
142dc952667552
15160478583d30
hexb062fe317c4

12121201121220 has 192 divisors, whose sum is σ = 39963030186240. Its totient is φ = 3039565326336.

The previous prime is 12121201121213. The next prime is 12121201121221. The reversal of 12121201121220 is 2212110212121.

12121201121220 is a `hidden beast` number, since 1 + 2 + 121 + 201 + 121 + 220 = 666.

12121201121220 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 = 12121201121193 and 12121201121202.

It is not an unprimeable number, because it can be changed into a prime (12121201121221) 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, 10108674 + ... + 11244006.

It is an arithmetic number, because the mean of its divisors is an integer number (208140782220).

Almost surely, 212121201121220 is an apocalyptic number.

12121201121220 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 12121201121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19981515093120).

12121201121220 is an abundant number, since it is smaller than the sum of its proper divisors (27841829065020).

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

12121201121220 is a wasteful number, since it uses less digits than its factorization.

12121201121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136531 (or 1136523 counting only the distinct ones).

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

Adding to 12121201121220 its reverse (2212110212121), we get a palindrome (14333311333341).

Subtracting from 12121201121220 its reverse (2212110212121), we obtain a palindrome (9909090909099).

The spelling of 12121201121220 in words is "twelve trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-one thousand, two hundred twenty".