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122132332112 = 24729200318773
BaseRepresentation
bin111000110111110100…
…1110111111001010000
3102200020121112022020212
41301233221313321100
54000111334111422
6132035023423252
711552360460050
oct1615751677120
9380217468225
10122132332112
114788357686a
121b805a54b28
13b694bb584b
145ca860b560
15329c2a79e2
hex1c6fa77e50

122132332112 has 80 divisors (see below), whose sum is σ = 279915834240. Its totient is φ = 50509595136.

The previous prime is 122132332109. The next prime is 122132332151. The reversal of 122132332112 is 211233231221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6496358 + ... + 6515130.

It is an arithmetic number, because the mean of its divisors is an integer number (3498947928).

Almost surely, 2122132332112 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 122132332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139957917120).

122132332112 is an abundant number, since it is smaller than the sum of its proper divisors (157783502128).

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

122132332112 is a wasteful number, since it uses less digits than its factorization.

122132332112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20820 (or 20814 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

Adding to 122132332112 its reverse (211233231221), we get a palindrome (333365563333).

The spelling of 122132332112 in words is "one hundred twenty-two billion, one hundred thirty-two million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 2003 3248 4006 8012 14021 16024 18773 28042 32048 37546 56084 58087 75092 112168 116174 131411 150184 224336 232348 262822 300368 406609 464696 525644 544417 813218 929392 1051288 1088834 1626436 2102576 2177668 3252872 3810919 4355336 6505744 7621838 8710672 15243676 30487352 37602319 60974704 75204638 150409276 263216233 300818552 526432466 601637104 1052864932 1090467251 2105729864 2180934502 4211459728 4361869004 7633270757 8723738008 15266541514 17447476016 30533083028 61066166056 122132332112