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122332123332 = 22328340941139
BaseRepresentation
bin111000111101110010…
…0000001000011000100
3102200202112110202021200
41301323210001003010
54001014010421312
6132110521542500
711560334614536
oct1617344010304
9380675422250
10122332123332
1147976326981
121b860944a30
13b6c73c8ac3
145cc6d77856
1532aeac00dc
hex1c7b9010c4

122332123332 has 36 divisors (see below), whose sum is σ = 312954074160. Its totient is φ = 40286079792.

The previous prime is 122332123313. The next prime is 122332123357. The reversal of 122332123332 is 233321233221.

122332123332 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 321 + 2 + 3 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122332123296 and 122332123305.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20467582 + ... + 20473557.

Almost surely, 2122332123332 is an apocalyptic number.

122332123332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122332123332 is an abundant number, since it is smaller than the sum of its proper divisors (190621950828).

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

122332123332 is a wasteful number, since it uses less digits than its factorization.

122332123332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40941232 (or 40941227 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 122332123332 its reverse (233321233221), we get a palindrome (355653356553).

The spelling of 122332123332 in words is "one hundred twenty-two billion, three hundred thirty-two million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 40941139 81882278 122823417 163764556 245646834 368470251 491293668 736940502 1473881004 3398114537 6796229074 10194343611 13592458148 20388687222 30583030833 40777374444 61166061666 122332123332