Search a number
-
+
122001212032 = 277829716411
BaseRepresentation
bin111000110011111010…
…1101100001010000000
3102122220110210201022121
41301213311230022000
53444324302241112
6132014021214024
711546206122550
oct1614765541200
9378813721277
10122001212032
114781655a367
121b789b61314
13b6739972bb
145c95039160
153290a07407
hex1c67d6c280

122001212032 has 64 divisors (see below), whose sum is σ = 277821023040. Its totient is φ = 52276746240.

The previous prime is 122001212017. The next prime is 122001212059. The reversal of 122001212032 is 230212100221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122001211997 and 122001212015.

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 7 ways as a sum of consecutive naturals, for example, 7425907 + ... + 7442317.

It is an arithmetic number, because the mean of its divisors is an integer number (4340953485).

Almost surely, 2122001212032 is an apocalyptic number.

It is an amenable number.

122001212032 is an abundant number, since it is smaller than the sum of its proper divisors (155819811008).

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

122001212032 is an equidigital number, since it uses as much as digits as its factorization.

122001212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24729 (or 24717 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122001212032 its reverse (230212100221), we get a palindrome (352213312253).

The spelling of 122001212032 in words is "one hundred twenty-two billion, one million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 8297 16411 16594 32822 33188 58079 65644 66376 114877 116158 131288 132752 229754 232316 262576 265504 459508 464632 525152 531008 919016 929264 1050304 1062016 1838032 1858528 2100608 3676064 3717056 7352128 7434112 14704256 136162067 272324134 544648268 953134469 1089296536 1906268938 2178593072 3812537876 4357186144 7625075752 8714372288 15250151504 17428744576 30500303008 61000606016 122001212032