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121632424344 = 233215111187677
BaseRepresentation
bin111000101000111011…
…0111000000110011000
3102121221202212100201100
41301101312320012120
53443100400034334
6131513244551400
711534110356024
oct1612166700630
9377852770640
10121632424344
1147647372752
121b6a6552560
13b615463732
145c5c07b384
15326d45bc99
hex1c51db8198

121632424344 has 48 divisors (see below), whose sum is σ = 331602775920. Its totient is φ = 40275633600.

The previous prime is 121632424337. The next prime is 121632424349. The reversal of 121632424344 is 443424236121.

121632424344 is a `hidden beast` number, since 1 + 216 + 3 + 2 + 4 + 2 + 434 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (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 = 121632424299 and 121632424308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121632424349) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5582967 + ... + 5604710.

It is an arithmetic number, because the mean of its divisors is an integer number (6908391165).

Almost surely, 2121632424344 is an apocalyptic number.

It is an amenable number.

121632424344 is an abundant number, since it is smaller than the sum of its proper divisors (209970351576).

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

121632424344 is a wasteful number, since it uses less digits than its factorization.

121632424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11187840 (or 11187833 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 121632424344 in words is "one hundred twenty-one billion, six hundred thirty-two million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 5436 10872 11187677 22375354 33563031 44750708 67126062 89501416 100689093 134252124 201378186 268504248 402756372 805512744 1689339227 3378678454 5068017681 6757356908 10136035362 13514713816 15204053043 20272070724 30408106086 40544141448 60816212172 121632424344