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122104400124 = 223717292948527
BaseRepresentation
bin111000110110111111…
…1010100100011111100
3102200011122222012202210
41301231333110203330
54000032211300444
6132032145020420
711551601163510
oct1615577244374
9380148865683
10122104400124
1147869829083
121b7b8624710
13b68c185c45
145ca4a1a140
153299adb7b9
hex1c6dfd48fc

122104400124 has 96 divisors (see below), whose sum is σ = 356653946880. Its totient is φ = 31702551552.

The previous prime is 122104400101. The next prime is 122104400137. The reversal of 122104400124 is 421004401221.

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 122104400124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1432852 + ... + 1515675.

It is an arithmetic number, because the mean of its divisors is an integer number (3715145280).

Almost surely, 2122104400124 is an apocalyptic number.

122104400124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122104400124 is an abundant number, since it is smaller than the sum of its proper divisors (234549546756).

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

122104400124 is a wasteful number, since it uses less digits than its factorization.

122104400124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948587 (or 2948585 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 122104400124 its reverse (421004401221), we get a palindrome (543108801345).

The spelling of 122104400124 in words is "one hundred twenty-two billion, one hundred four million, four hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 174 203 204 238 348 357 406 476 493 609 714 812 986 1218 1428 1479 1972 2436 2958 3451 5916 6902 10353 13804 20706 41412 2948527 5897054 8845581 11794108 17691162 20639689 35382324 41279378 50124959 61919067 82558756 85507283 100249918 123838134 150374877 171014566 200499836 247676268 256521849 300749754 342029132 350874713 513043698 598550981 601499508 701749426 1026087396 1052624139 1197101962 1403498852 1453623811 1795652943 2105248278 2394203924 2907247622 3591305886 4210496556 4360871433 5814495244 7182611772 8721742866 10175366677 17443485732 20350733354 30526100031 40701466708 61052200062 122104400124