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122531315312 = 24721314092917
BaseRepresentation
bin111001000011101101…
…1110111111001110000
3102201021102021202022102
41302013123313321300
54001421004042222
6132142355155532
711565303665300
oct1620733677160
9381242252272
10122531315312
1147a6880784a
121b8b75a5ba8
13b72975c393
145d055c9600
1532c2319d92
hex1c876f7e70

122531315312 has 120 divisors (see below), whose sum is σ = 279048456720. Its totient is φ = 51967319040.

The previous prime is 122531315311. The next prime is 122531315323. The reversal of 122531315312 is 213513135221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122531315311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42004478 + ... + 42007394.

It is an arithmetic number, because the mean of its divisors is an integer number (2325403806).

Almost surely, 2122531315312 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 122531315312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139524228360).

122531315312 is an abundant number, since it is smaller than the sum of its proper divisors (156517141408).

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

122531315312 is a wasteful number, since it uses less digits than its factorization.

122531315312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3466 counting only the distinct ones).

The product of its digits is 5400, while the sum is 29.

The spelling of 122531315312 in words is "one hundred twenty-two billion, five hundred thirty-one million, three hundred fifteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 131 196 262 392 409 524 784 818 917 1048 1636 1834 2096 2863 2917 3272 3668 5726 5834 6419 6544 7336 11452 11668 12838 14672 20041 20419 22904 23336 25676 40082 40838 45808 46672 51352 53579 80164 81676 102704 107158 142933 160328 163352 214316 285866 320656 326704 375053 382127 428632 571732 750106 764254 857264 1143464 1193053 1500212 1528508 2286928 2386106 2625371 2674889 3000424 3057016 4772212 5250742 5349778 6000848 6114032 8351371 9544424 10501484 10699556 16702742 18724223 19088848 21002968 21399112 33405484 37448446 42005936 42798224 58459597 66810968 74896892 116919194 133621936 149793784 156289943 233838388 299587568 312579886 467676776 625159772 935353552 1094029601 1250319544 2188059202 2500639088 4376118404 7658207207 8752236808 15316414414 17504473616 30632828828 61265657656 122531315312