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122312342220 = 2235174789109263
BaseRepresentation
bin111000111101001100…
…0100011101011001100
3102200201011020202200220
41301322120203223030
54000443424422340
6132104533551340
711560004516625
oct1617230435314
9380634222626
10122312342220
1147966146052
121b8561a5550
13b6c32911c3
145cc44a8a4c
1532aceb3ed0
hex1c7a623acc

122312342220 has 384 divisors, whose sum is σ = 379369267200. Its totient is φ = 29322805248.

The previous prime is 122312342213. The next prime is 122312342239. The reversal of 122312342220 is 22243213221.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 465065809 + ... + 465066071.

It is an arithmetic number, because the mean of its divisors is an integer number (987940800).

Almost surely, 2122312342220 is an apocalyptic number.

122312342220 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 122312342220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189684633600).

122312342220 is an abundant number, since it is smaller than the sum of its proper divisors (257056924980).

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

122312342220 is a wasteful number, since it uses less digits than its factorization.

122312342220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122312342220 its reverse (22243213221), we get a palindrome (144555555441).

The spelling of 122312342220 in words is "one hundred twenty-two billion, three hundred twelve million, three hundred forty-two thousand, two hundred twenty".