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121112232331332 = 22311979458937233
BaseRepresentation
bin11011100010011010100011…
…100101100000100001000100
3120212211012211201010121200210
4123202122203211200201010
5111333300322434100312
61105330105203435420
734340033010051234
oct3342324345404104
9525735751117623
10121112232331332
1135654455841840
1211700441685b70
135276ab0533c08
1421c9c12d51cc4
15e00618e6ae3c
hex6e26a3960844

121112232331332 has 48 divisors (see below), whose sum is σ = 311463885241152. Its totient is φ = 36322318970880.

The previous prime is 121112232331309. The next prime is 121112232331333. The reversal of 121112232331332 is 233133232211121.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121112232331332.

It is not an unprimeable number, because it can be changed into a prime (121112232331333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4729455813 + ... + 4729481420.

It is an arithmetic number, because the mean of its divisors is an integer number (6488830942524).

Almost surely, 2121112232331332 is an apocalyptic number.

121112232331332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121112232331332 is an abundant number, since it is smaller than the sum of its proper divisors (190351652909820).

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

121112232331332 is a wasteful number, since it uses less digits than its factorization.

121112232331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9458937348 (or 9458937346 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 121112232331332 its reverse (233133232211121), we get a palindrome (354245464542453).

The spelling of 121112232331332 in words is "one hundred twenty-one trillion, one hundred twelve billion, two hundred thirty-two million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4268 6402 12804 9458937233 18917874466 28376811699 37835748932 56753623398 104048309563 113507246796 208096619126 312144928689 416193238252 624289857378 917516911601 1248579714756 1835033823202 2752550734803 3670067646404 5505101469606 10092686027611 11010202939212 20185372055222 30278058082833 40370744110444 60556116165666 121112232331332