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122340300552 = 2332412212
BaseRepresentation
bin111000111110000001…
…1001101011100001000
3102200210002212012022200
41301330003031130020
54001023104104202
6132111413120200
711560464253041
oct1617403153410
9380702765280
10122340300552
114797aa01608
121b863629060
13b6c8cccab2
145cc80a58c8
1532b0687e1c
hex1c7c0cd708

122340300552 has 36 divisors (see below), whose sum is σ = 331346352285. Its totient is φ = 40779110880.

The previous prime is 122340300547. The next prime is 122340300581. The reversal of 122340300552 is 255003043221.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

122340300552 is a `hidden beast` number, since 12 + 2 + 340 + 300 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106219935396 + 16120365156 = 325914^2 + 126966^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247326.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2947302 + ... + 2988522.

Almost surely, 2122340300552 is an apocalyptic number.

122340300552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122340300552 is an abundant number, since it is smaller than the sum of its proper divisors (209006051733).

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

122340300552 is an frugal number, since it uses more digits than its factorization.

122340300552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82454 (or 41226 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Multiplying 122340300552 by its product of nonzero digits (7200), we get a square (880850163974400 = 296791202).

Adding to 122340300552 its reverse (255003043221), we get a palindrome (377343343773).

The spelling of 122340300552 in words is "one hundred twenty-two billion, three hundred forty million, three hundred thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 41221 82442 123663 164884 247326 329768 370989 494652 741978 989304 1483956 2967912 1699170841 3398341682 5097512523 6796683364 10195025046 13593366728 15292537569 20390050092 30585075138 40780100184 61170150276 122340300552