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122707343340 = 223351759322541
BaseRepresentation
bin111001001000111101…
…1010111011111101100
3102201201200111220101000
41302101323113133230
54002301034441330
6132212044120300
711602542131451
oct1622173273754
9381650456330
10122707343340
114804910725a
121b946536090
13b75707238a
145d20b2b828
1532d29db560
hex1c91ed77ec

122707343340 has 192 divisors, whose sum is σ = 404912027520. Its totient is φ = 30743838720.

The previous prime is 122707343327. The next prime is 122707343359. The reversal of 122707343340 is 43343707221.

122707343340 is a `hidden beast` number, since 1 + 2 + 270 + 7 + 3 + 43 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122707343295 and 122707343304.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5432470 + ... + 5455010.

It is an arithmetic number, because the mean of its divisors is an integer number (2108916810).

Almost surely, 2122707343340 is an apocalyptic number.

122707343340 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 122707343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202456013760).

122707343340 is an abundant number, since it is smaller than the sum of its proper divisors (282204684180).

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

122707343340 is a wasteful number, since it uses less digits than its factorization.

122707343340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23169 (or 23161 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 122707343340 in words is "one hundred twenty-two billion, seven hundred seven million, three hundred forty-three thousand, three hundred forty".