Search a number
-
+
122532153524124 = 2231937911197126641
BaseRepresentation
bin11011110111000100111101…
…011110111111111110011100
3121001211221220110100212020220
4123313010331132333332130
5112030031322300232444
61112334254430441340
734544440664050461
oct3367047536777634
9531757813325226
10122532153524124
113605165a292023
12118ab676363250
13534a96a3b2216
1422388331ab668
15e27520e7b619
hex6f713d7bff9c

122532153524124 has 96 divisors (see below), whose sum is σ = 301779578284800. Its totient is φ = 38588516951040.

The previous prime is 122532153524119. The next prime is 122532153524129. The reversal of 122532153524124 is 421425351235221.

It is an interprime number because it is at equal distance from previous prime (122532153524119) and next prime (122532153524129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122532153524129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967491844 + ... + 967618484.

It is an arithmetic number, because the mean of its divisors is an integer number (3143537273800).

Almost surely, 2122532153524124 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 122532153524124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150889789142400).

122532153524124 is an abundant number, since it is smaller than the sum of its proper divisors (179247424760676).

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

122532153524124 is a wasteful number, since it uses less digits than its factorization.

122532153524124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138243 (or 138241 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

The spelling of 122532153524124 in words is "one hundred twenty-two trillion, five hundred thirty-two billion, one hundred fifty-three million, five hundred twenty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 379 758 1137 1516 2274 4548 7201 11197 14402 21603 22394 28804 33591 43206 44788 67182 86412 126641 134364 212743 253282 379923 425486 506564 638229 759846 850972 1276458 1519692 2406179 2552916 4243663 4812358 7218537 8487326 9624716 12730989 14437074 16974652 25461978 28874148 47996939 50923956 80629597 95993878 143990817 161259194 191987756 241888791 287981634 322518388 483777582 575963268 911941841 967555164 1417999277 1823883682 2735825523 2835998554 3647767364 4253997831 5471651046 5671997108 8507995662 10943302092 17015991324 26941986263 53883972526 80825958789 107767945052 161651917578 323303835156 537421725983 1074843451966 1612265177949 2149686903932 3224530355898 6449060711796 10211012793677 20422025587354 30633038381031 40844051174708 61266076762062 122532153524124