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122448655056 = 24372134004731
BaseRepresentation
bin111001000001010000…
…0100011001011010000
3102201001122202011202110
41302002200203023100
54001233323430211
6132130243345320
711563251252300
oct1620240431320
9381048664673
10122448655056
1147a26089992
121b893982240
13b7155aa1a0
145cd862d600
1532b9e3cea6
hex1c828232d0

122448655056 has 120 divisors (see below), whose sum is σ = 396276240864. Its totient is φ = 32294142720.

The previous prime is 122448655027. The next prime is 122448655067. The reversal of 122448655056 is 650556844221.

122448655056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 122448654996 and 122448655014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971790 + ... + 2032941.

Almost surely, 2122448655056 is an apocalyptic number.

122448655056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122448655056 is an abundant number, since it is smaller than the sum of its proper divisors (273827585808).

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

122448655056 is a wasteful number, since it uses less digits than its factorization.

122448655056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004769 (or 4004756 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 122448655056 in words is "one hundred twenty-two billion, four hundred forty-eight million, six hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 4004731 8009462 12014193 16018924 24028386 28033117 32037848 48056772 52061503 56066234 64075696 84099351 96113544 104123006 112132468 156184509 168198702 192227088 196231819 208246012 224264936 312369018 336397404 364430521 392463638 416492024 448529872 588695457 624738036 672794808 728861042 784927276 832984048 1093291563 1177390914 1249476072 1345589616 1457722084 1569854552 2186583126 2354781828 2498952144 2551013647 2915444168 3139709104 4373166252 4709563656 5102027294 5830888336 7653040941 8746332504 9419127312 10204054588 15306081882 17492665008 20408109176 30612163764 40816218352 61224327528 122448655056