Search a number
-
+
122074451232 = 2536120846047
BaseRepresentation
bin111000110110000110…
…1000100110100100000
3102200002120121122121120
41301230031010310200
54000002024414412
6132025155052240
711551055500116
oct1615415046440
9380076548546
10122074451232
1147853933028
121b7aa5a1080
13b685bcb2c6
145ca0a61ab6
153297172b8c
hex1c6c344d20

122074451232 has 48 divisors (see below), whose sum is σ = 325698653952. Its totient is φ = 40024408320.

The previous prime is 122074451227. The next prime is 122074451287. The reversal of 122074451232 is 232154470221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 122074451193 and 122074451202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10417168 + ... + 10428879.

It is an arithmetic number, because the mean of its divisors is an integer number (6785388624).

Almost surely, 2122074451232 is an apocalyptic number.

122074451232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122074451232 is an abundant number, since it is smaller than the sum of its proper divisors (203624202720).

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

122074451232 is a wasteful number, since it uses less digits than its factorization.

122074451232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20846121 (or 20846113 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 122074451232 in words is "one hundred twenty-two billion, seventy-four million, four hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 20846047 41692094 62538141 83384188 125076282 166768376 250152564 333536752 500305128 667073504 1000610256 1271608867 2001220512 2543217734 3814826601 5086435468 7629653202 10172870936 15259306404 20345741872 30518612808 40691483744 61037225616 122074451232