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122412210232 = 23135323779343
BaseRepresentation
bin111001000000001010…
…1100001100000111000
3102200222010011120212011
41302000111201200320
54001200011211412
6132122502255304
711562326422204
oct1620025414070
9380863146764
10122412210232
1147a075573a4
121b883727534
13b70ab898c0
145cd3863b04
1532b6b3e7a7
hex1c80561838

122412210232 has 64 divisors (see below), whose sum is σ = 251975162880. Its totient is φ = 55402693632.

The previous prime is 122412210229. The next prime is 122412210247. The reversal of 122412210232 is 232012214221.

122412210232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13097353 + ... + 13106695.

It is an arithmetic number, because the mean of its divisors is an integer number (3937111920).

Almost surely, 2122412210232 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 122412210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125987581440).

122412210232 is an abundant number, since it is smaller than the sum of its proper divisors (129562952648).

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

122412210232 is a wasteful number, since it uses less digits than its factorization.

122412210232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11792 (or 11788 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 122412210232 its reverse (232012214221), we get a palindrome (354424424453).

The spelling of 122412210232 in words is "one hundred twenty-two billion, four hundred twelve million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 53 104 106 212 424 689 1378 2377 2756 4754 5512 9343 9508 18686 19016 30901 37372 61802 74744 121459 123604 125981 242918 247208 251962 485836 495179 503924 971672 990358 1007848 1637753 1980716 3275506 3961432 6437327 6551012 12874654 13102024 22208311 25749308 44416622 51498616 88833244 177666488 288708043 577416086 1154832172 1177040483 2309664344 2354080966 4708161932 9416323864 15301526279 30603052558 61206105116 122412210232