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122043130352 = 24112139834933
BaseRepresentation
bin111000110101001010…
…1100110000111110000
3102200000101200101102222
41301222111212013300
53444421020132402
6132022115500212
711550225330443
oct1615225460760
9380011611388
10122043130352
1147838190200
121b79bbb7668
13b67c583040
145c9a82b65a
1532945377a2
hex1c6a5661f0

122043130352 has 120 divisors (see below), whose sum is σ = 280243542432. Its totient is φ = 51144445440.

The previous prime is 122043130337. The next prime is 122043130421. The reversal of 122043130352 is 253031340221.

It is a happy number.

It is a super-2 number, since 2×1220431303522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24737678 + ... + 24742610.

Almost surely, 2122043130352 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 122043130352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140121771216).

122043130352 is an abundant number, since it is smaller than the sum of its proper divisors (158200412080).

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

122043130352 is a wasteful number, since it uses less digits than its factorization.

122043130352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 122043130352 its reverse (253031340221), we get a palindrome (375074470573).

The spelling of 122043130352 in words is "one hundred twenty-two billion, forty-three million, one hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 968 983 1144 1573 1936 1966 2288 3146 3932 4933 6292 7864 9866 10813 12584 12779 15728 19732 21626 25168 25558 39464 43252 51116 54263 64129 78928 86504 102232 108526 118943 128258 140569 173008 204464 217052 237886 256516 281138 434104 475772 513032 562276 596893 705419 868208 951544 1026064 1124552 1193786 1410838 1546259 1903088 2249104 2387572 2821676 3092518 4775144 4849139 5643352 6185036 7759609 9550288 9698278 11286704 12370072 15519218 19396556 24740144 31038436 38793112 53340529 62076872 63038807 77586224 106681058 124153744 126077614 213362116 252155228 426724232 504310456 586745819 693426877 853448464 1008620912 1173491638 1386853754 2346983276 2773707508 4693966552 5547415016 7627695647 9387933104 11094830032 15255391294 30510782588 61021565176 122043130352