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BaseRepresentation
bin111000111101001110…
…0100101111011000000
3102200201020020111200221
41301322130211323000
54000444212300000
6132105012352424
711560016513551
oct1617234457300
9380636214627
10122313400000
11479667a8850
121b856615714
13b6c35717cc
145cc46a2328
hex1c7a725ec0

122313400000 has 336 divisors, whose sum is σ = 337520584800. Its totient is φ = 43596800000.

The previous prime is 122313399959. The next prime is 122313400003. The reversal of 122313400000 is 4313221.

Adding to 122313400000 its reverse (4313221), we get a palindrome (122317713221).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122313400003) 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 47 ways as a sum of consecutive naturals, for example, 116599476 + ... + 116600524.

It is an arithmetic number, because the mean of its divisors is an integer number (1004525550).

Almost surely, 2122313400000 is an apocalyptic number.

122313400000 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 122313400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168760292400).

122313400000 is an abundant number, since it is smaller than the sum of its proper divisors (215207184800).

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

122313400000 is an equidigital number, since it uses as much as digits as its factorization.

122313400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The spelling of 122313400000 in words is "one hundred twenty-two billion, three hundred thirteen million, four hundred thousand".