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122055505152 = 2837137165721
BaseRepresentation
bin111000110101100010…
…0110011010100000000
3102200001020222002110220
41301223010303110000
53444432202131102
6132023241023040
711550435450540
oct1615304632400
9380036862426
10122055505152
1147844172609
121b7a4184a80
13b681cc67c9
145c9c32d320
15329567e1bc
hex1c6b133500

122055505152 has 144 divisors (see below), whose sum is σ = 373964287872. Its totient is φ = 34618245120.

The previous prime is 122055505151. The next prime is 122055505157. The reversal of 122055505152 is 251505550221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122055505151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 653652 + ... + 819372.

Almost surely, 2122055505152 is an apocalyptic number.

122055505152 is a gapful number since it is divisible by the number (12) 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 122055505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186982143936).

122055505152 is an abundant number, since it is smaller than the sum of its proper divisors (251908782720).

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

122055505152 is a wasteful number, since it uses less digits than its factorization.

122055505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165884 (or 165870 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 33.

The spelling of 122055505152 in words is "one hundred twenty-two billion, fifty-five million, five hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 137 168 192 224 256 274 336 384 411 448 548 672 768 822 896 959 1096 1344 1644 1792 1918 2192 2688 2877 3288 3836 4384 5376 5754 6576 7672 8768 11508 13152 15344 17536 23016 26304 30688 35072 46032 52608 61376 92064 105216 122752 165721 184128 245504 331442 368256 497163 662884 736512 994326 1160047 1325768 1988652 2320094 2651536 3480141 3977304 4640188 5303072 6960282 7954608 9280376 10606144 13920564 15909216 18560752 21212288 22703777 27841128 31818432 37121504 42424576 45407554 55682256 63636864 68111331 74243008 90815108 111364512 127273728 136222662 148486016 158926439 181630216 222729024 272445324 296972032 317852878 363260432 445458048 476779317 544890648 635705756 726520864 890916096 953558634 1089781296 1271411512 1453041728 1907117268 2179562592 2542823024 2906083456 3814234536 4359125184 5085646048 5812166912 7628469072 8718250368 10171292096 15256938144 17436500736 20342584192 30513876288 40685168384 61027752576 122055505152