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122232244324104 = 23351811093317827
BaseRepresentation
bin11011110010101101101001…
…100000001100011100001000
3121000210021210021021221200000
4123302231221200030130020
5112010123114021332404
61111544415015443000
734513662650652105
oct3362555140143410
9530707707257600
10122232244324104
1135a46449373132
1211861517386460
1353285b3325715
142228102143aac
15e1e81b756339
hex6f2b6980c708

122232244324104 has 192 divisors, whose sum is σ = 345520251935040. Its totient is φ = 40481777306880.

The previous prime is 122232244324093. The next prime is 122232244324111. The reversal of 122232244324104 is 401423442232221.

122232244324104 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 3 + 224 + 4 + 324 + 104 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384428439 + ... + 384746265.

It is an arithmetic number, because the mean of its divisors is an integer number (1799584645495).

Almost surely, 2122232244324104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122232244324104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172760125967520).

122232244324104 is an abundant number, since it is smaller than the sum of its proper divisors (223288007610936).

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

122232244324104 is a wasteful number, since it uses less digits than its factorization.

122232244324104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319122 (or 319106 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 122232244324104 its reverse (401423442232221), we get a palindrome (523655686556325).

The spelling of 122232244324104 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, two hundred forty-four million, three hundred twenty-four thousand, one hundred four".