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122012130324 = 223726711632663
BaseRepresentation
bin111000110100001111…
…1010101110000010100
3102122221020100102101210
41301220133111300110
53444340101132244
6132015051221420
711546400665400
oct1615037256024
9378836312353
10122012130324
1147821737447
121b791747870
13b67601ab26
145c9667c100
1532919624b9
hex1c687d5c14

122012130324 has 144 divisors (see below), whose sum is σ = 336534041088. Its totient is φ = 34297889472.

The previous prime is 122012130323. The next prime is 122012130403. The reversal of 122012130324 is 423031210221.

122012130324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 122012130324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012130323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45816217 + ... + 45818879.

It is an arithmetic number, because the mean of its divisors is an integer number (2337041952).

Almost surely, 2122012130324 is an apocalyptic number.

122012130324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122012130324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168267020544).

122012130324 is an abundant number, since it is smaller than the sum of its proper divisors (214521910764).

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

122012130324 is a wasteful number, since it uses less digits than its factorization.

122012130324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122012130324 its reverse (423031210221), we get a palindrome (545043340545).

The spelling of 122012130324 in words is "one hundred twenty-two billion, twelve million, one hundred thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 402 469 588 804 938 1163 1407 1876 2326 2663 2814 3283 3489 4652 5326 5628 6566 6978 7989 8141 9849 10652 13132 13956 15978 16282 18641 19698 24423 31956 32564 37282 39396 48846 55923 56987 74564 77921 97692 111846 113974 130487 155842 170961 178421 223692 227948 233763 260974 311684 341922 356842 391461 467526 521948 535263 545447 683844 713684 782922 935052 1070526 1090894 1248947 1565844 1636341 2141052 2181788 2497894 3097069 3272682 3746841 3818129 4995788 6194138 6545364 7493682 7636258 8742629 9291207 11454387 12388276 14987364 15272516 17485258 18582414 21679483 22908774 26227887 34970516 37164828 43358966 45817548 52455774 65038449 86717932 104911548 130076898 151756381 207503623 260153796 303512762 415007246 455269143 607025524 622510869 830014492 910538286 1245021738 1452525361 1821076572 2490043476 2905050722 4357576083 5810101444 8715152166 10167677527 17430304332 20335355054 30503032581 40670710108 61006065162 122012130324