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122124314192 = 24293316471229
BaseRepresentation
bin111000110111100101…
…1010010011001010000
3102200020001102221201212
41301233023102121100
54000102311023232
6132034135515252
711552232354146
oct1615713223120
9380201387655
10122124314192
1147879a9a891
121b803228b28
13b69333920a
145ca7521596
15329b721eb2
hex1c6f2d2650

122124314192 has 80 divisors (see below), whose sum is σ = 246094070400. Its totient is φ = 58639848960.

The previous prime is 122124314189. The next prime is 122124314201. The reversal of 122124314192 is 291413421221.

It is a super-2 number, since 2×1221243141922 (a number of 23 digits) contains 22 as substring.

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, 99368234 + ... + 99369462.

It is an arithmetic number, because the mean of its divisors is an integer number (3076175880).

Almost surely, 2122124314192 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 122124314192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123047035200).

122124314192 is an abundant number, since it is smaller than the sum of its proper divisors (123969756208).

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

122124314192 is a wasteful number, since it uses less digits than its factorization.

122124314192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2238 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The spelling of 122124314192 in words is "one hundred twenty-two billion, one hundred twenty-four million, three hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 58 116 232 331 464 647 662 1229 1294 1324 2458 2588 2648 4916 5176 5296 9599 9832 10352 18763 19198 19664 35641 37526 38396 71282 75052 76792 142564 150104 153584 214157 285128 300208 406799 428314 570256 795163 813598 856628 1590326 1627196 1713256 3180652 3254392 3426512 6210553 6361304 6508784 11797171 12421106 12722608 23059727 23594342 24842212 46119454 47188684 49684424 92238908 94377368 99368848 184477816 188754736 263198953 368955632 526397906 1052795812 2105591624 4211183248 7632769637 15265539274 30531078548 61062157096 122124314192