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122056443124 = 2271117213110939
BaseRepresentation
bin111000110101100100…
…0011000010011110100
3102200001022201202010121
41301223020120103310
53444432422134444
6132023313101324
711550446435260
oct1615310302364
9380038652117
10122056443124
11478447532a0
121b7a4557844
13b682264715
145c9c4d50a0
1532957b7084
hex1c6b2184f4

122056443124 has 96 divisors (see below), whose sum is σ = 282128071680. Its totient is φ = 44732044800.

The previous prime is 122056443053. The next prime is 122056443161. The reversal of 122056443124 is 421344650221.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 122056443124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11152447 + ... + 11163385.

It is an arithmetic number, because the mean of its divisors is an integer number (2938834080).

Almost surely, 2122056443124 is an apocalyptic number.

122056443124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122056443124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141064035840).

122056443124 is an abundant number, since it is smaller than the sum of its proper divisors (160071628556).

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

122056443124 is a wasteful number, since it uses less digits than its factorization.

122056443124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13109 (or 13107 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 122056443124 in words is "one hundred twenty-two billion, fifty-six million, four hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2131 2618 4262 5236 8524 10939 14917 21878 23441 29834 36227 43756 46882 59668 72454 76573 93764 120329 144908 153146 164087 185963 240658 253589 306292 328174 371926 398497 481316 507178 656348 743852 796994 842303 1014356 1301741 1593988 1684606 2045593 2603482 2789479 3369212 4091186 5206964 5578958 8182372 11157916 14319151 23311009 28638302 46622018 57276604 93244036 163177063 256421099 326354126 396287153 512842198 652708252 792574306 1025684396 1585148612 1794947693 2774010071 3589895386 4359158683 5548020142 7179790772 8718317366 11096040284 17436634732 30514110781 61028221562 122056443124