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122120021012 = 22112252314093
BaseRepresentation
bin111000110111011101…
…0111010010000010100
3102200012202100211121012
41301232322322100110
54000100211133022
6132033503511352
711552151023453
oct1615672722024
9380182324535
10122120021012
1147877628300
121b8018b8558
13b692495082
145ca6b24b9a
15329b174de2
hex1c6eeba414

122120021012 has 18 divisors (see below), whose sum is σ = 234904421514. Its totient is φ = 55509100240.

The previous prime is 122120020991. The next prime is 122120021017. The reversal of 122120021012 is 210120021221.

122120021012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 84613501456 + 37506519556 = 290884^2 + 193666^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120021017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 126156563 + ... + 126157530.

Almost surely, 2122120021012 is an apocalyptic number.

It is an amenable number.

122120021012 is a deficient number, since it is larger than the sum of its proper divisors (112784400502).

122120021012 is a wasteful number, since it uses less digits than its factorization.

122120021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252314119 (or 252314106 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122120021012 its reverse (210120021221), we get a palindrome (332240042233).

The spelling of 122120021012 in words is "one hundred twenty-two billion, one hundred twenty million, twenty-one thousand, twelve".

Divisors: 1 2 4 11 22 44 121 242 484 252314093 504628186 1009256372 2775455023 5550910046 11101820092 30530005253 61060010506 122120021012