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121331323323232 = 2511714854806471
BaseRepresentation
bin11011100101100110100110…
…011011010100001101100000
3120220121011100112111011202021
4123211212212123110031200
5111400343022232320412
61110014501312031224
734361620204544611
oct3345464633241540
9526534315434667
10121331323323232
1135729363a077a0
12117369a6832514
135291657acc0a9
1421d66786d5c08
15e0618d450607
hex6e59a66d4360

121331323323232 has 48 divisors (see below), whose sum is σ = 264256825883904. Its totient is φ = 54373832464000.

The previous prime is 121331323323211. The next prime is 121331323323239. The reversal of 121331323323232 is 232323323133121.

It is a happy number.

It is a super-2 number, since 2×1213313233232322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121331323323239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2427378244 + ... + 2427428227.

It is an arithmetic number, because the mean of its divisors is an integer number (5505350539248).

Almost surely, 2121331323323232 is an apocalyptic number.

It is an amenable number.

121331323323232 is an abundant number, since it is smaller than the sum of its proper divisors (142925502560672).

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

121331323323232 is a wasteful number, since it uses less digits than its factorization.

121331323323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4854806563 (or 4854806555 counting only the distinct ones).

The product of its digits is 69984, while the sum is 34.

Adding to 121331323323232 its reverse (232323323133121), we get a palindrome (353654646456353).

The spelling of 121331323323232 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, three hundred twenty-three million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 568 781 1136 1562 2272 3124 6248 12496 24992 4854806471 9709612942 19419225884 38838451768 53402871181 77676903536 106805742362 155353807072 213611484724 344691259441 427222969448 689382518882 854445938896 1378765037764 1708891877792 2757530075528 3791603853851 5515060151056 7583207707702 11030120302112 15166415415404 30332830830808 60665661661616 121331323323232