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122342431312 = 24232928514021
BaseRepresentation
bin111000111110000101…
…1010101101001010000
3102200210020212110011201
41301330023111221100
54001024130300222
6132111530520544
711560521336133
oct1617413255120
9380706773151
10122342431312
1147981127472
121b864296154
13b6c95978ba
145cc849c21a
1532b0959427
hex1c7c2d5a50

122342431312 has 80 divisors (see below), whose sum is σ = 256027006080. Its totient is φ = 56460096000.

The previous prime is 122342431241. The next prime is 122342431417. The reversal of 122342431312 is 213134243221.

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, 30423862 + ... + 30427882.

It is an arithmetic number, because the mean of its divisors is an integer number (3200337576).

Almost surely, 2122342431312 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 122342431312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128013503040).

122342431312 is an abundant number, since it is smaller than the sum of its proper divisors (133684574768).

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

122342431312 is a wasteful number, since it uses less digits than its factorization.

122342431312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6932 (or 6926 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 122342431312 its reverse (213134243221), we get a palindrome (335476674533).

The spelling of 122342431312 in words is "one hundred twenty-two billion, three hundred forty-two million, four hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 1334 2668 2851 4021 5336 5702 8042 10672 11404 16084 22808 32168 45616 64336 65573 82679 92483 116609 131146 165358 184966 233218 262292 330716 369932 466436 524584 661432 739864 932872 1049168 1322864 1479728 1865744 1901617 2682007 3803234 5364014 7606468 10728028 11463871 15212936 21456056 22927742 30425872 42912112 45855484 91710968 183421936 263669033 332452259 527338066 664904518 1054676132 1329809036 2109352264 2659618072 4218704528 5319236144 7646401957 15292803914 30585607828 61171215656 122342431312