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122120001012 = 22310176666751
BaseRepresentation
bin111000110111011101…
…0110101010111110100
3102200012202022211011110
41301232322311113310
54000100210013022
6132033503235020
711552150611242
oct1615672652764
9380182284143
10122120001012
1147877614279
121b8018a8a70
13b692488c39
145ca6b1b792
15329b16e00c
hex1c6eeb55f4

122120001012 has 12 divisors (see below), whose sum is σ = 284946669056. Its totient is φ = 40706667000.

The previous prime is 122120000921. The next prime is 122120001013. The reversal of 122120001012 is 210100021221.

122120001012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 10176666751 = 122120001012 / (1 + 2 + 2 + 1 + 2 + 0 + 0 + 0 + 1 + 0 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120001013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5088333364 + ... + 5088333387.

Almost surely, 2122120001012 is an apocalyptic number.

122120001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122120001012 is an abundant number, since it is smaller than the sum of its proper divisors (162826668044).

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

122120001012 is a wasteful number, since it uses less digits than its factorization.

122120001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10176666758 (or 10176666756 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122120001012 its reverse (210100021221), we get a palindrome (332220022233).

The spelling of 122120001012 in words is "one hundred twenty-two billion, one hundred twenty million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 10176666751 20353333502 30530000253 40706667004 61060000506 122120001012