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122440630338 = 232131929099467
BaseRepresentation
bin111001000001000000…
…1111100000001000010
3102201001002122110220200
41302002001330001002
54001224300132323
6132125355350030
711563123120515
oct1620201740102
9381032573820
10122440630338
1147a215a8894
121b891152316
13b713a2a730
145cd7540d7c
1532b93a5443
hex1c8207c042

122440630338 has 96 divisors (see below), whose sum is σ = 300866529600. Its totient is φ = 35675157888.

The previous prime is 122440630237. The next prime is 122440630379. The reversal of 122440630338 is 833036044221.

122440630338 is a `hidden beast` number, since 1 + 224 + 40 + 63 + 0 + 338 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12928681 + ... + 12938147.

It is an arithmetic number, because the mean of its divisors is an integer number (3134026350).

Almost surely, 2122440630338 is an apocalyptic number.

122440630338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122440630338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150433264800).

122440630338 is an abundant number, since it is smaller than the sum of its proper divisors (178425899262).

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

122440630338 is a wasteful number, since it uses less digits than its factorization.

122440630338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12416 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 122440630338 its reverse (833036044221), we get a palindrome (955476674559).

The spelling of 122440630338 in words is "one hundred twenty-two billion, four hundred forty million, six hundred thirty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1482 2223 2909 4446 5818 8727 9467 17454 18934 26181 28401 37817 52362 55271 56802 75634 85203 110542 113451 123071 165813 170406 179873 226902 246142 331626 340353 359746 369213 497439 539619 680706 718523 738426 994878 1079238 1107639 1437046 1618857 2155569 2215278 2338349 3237714 4311138 4676698 6466707 7015047 12933414 14030094 21045141 27539503 42090282 55079006 82618509 165237018 247855527 358013539 495711054 523250557 716027078 1046501114 1074040617 1569751671 2148081234 3139503342 3222121851 4709255013 6444243702 6802257241 9418510026 13604514482 20406771723 40813543446 61220315169 122440630338