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120012120122121 = 3289318734700777
BaseRepresentation
bin11011010010011001111111…
…110010011110001100001001
3120201221001020222221000212100
4123102121333302132030021
5111212234310222401441
61103124450141104013
734164406133421153
oct3322317762361411
9521831228830770
10120012120122121
113526a944110367
12115631a0258009
1351c712c42bb76
14218c8909d9ad3
15dd1bcd702cb6
hex6d267fc9e309

120012120122121 has 24 divisors (see below), whose sum is σ = 175304139627240. Its totient is φ = 79106614050816.

The previous prime is 120012120122113. The next prime is 120012120122171. The reversal of 120012120122121 is 121221021210021.

120012120122121 is a `hidden beast` number, since 1 + 200 + 1 + 21 + 201 + 221 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15290954433225 + 104721165688896 = 3910365^2 + 10233336^2 .

It is not a de Polignac number, because 120012120122121 - 23 = 120012120122113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120012120122094 and 120012120122103.

It is not an unprimeable number, because it can be changed into a prime (120012120122101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23179885 + ... + 27880661.

It is an arithmetic number, because the mean of its divisors is an integer number (7304339151135).

Almost surely, 2120012120122121 is an apocalyptic number.

It is an amenable number.

120012120122121 is a deficient number, since it is larger than the sum of its proper divisors (55292019505119).

120012120122121 is a wasteful number, since it uses less digits than its factorization.

120012120122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732745 (or 4732742 counting only the distinct ones).

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

Adding to 120012120122121 its reverse (121221021210021), we get a palindrome (241233141332142).

The spelling of 120012120122121 in words is "one hundred twenty trillion, twelve billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 89 267 801 31873 95619 286857 2836697 4700777 8510091 14102331 25530273 42306993 418369153 1255107459 3765322377 149827865321 449483595963 1348450787889 13334680013569 40004040040707 120012120122121