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121132331144 = 231129145932533
BaseRepresentation
bin111000011010000001…
…1001011000010001000
3102120122220211222210222
41300310003023002020
53441034334044034
6131351502125212
711515525553246
oct1606403130210
9376586758728
10121132331144
1147410052290
121b586b80808
13b5659780b6
145c1189d796
15323e5c612e
hex1c340cb088

121132331144 has 64 divisors (see below), whose sum is σ = 256498056000. Its totient is φ = 53123454720.

The previous prime is 121132331129. The next prime is 121132331153. The reversal of 121132331144 is 441133231121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3707102 + ... + 3739634.

It is an arithmetic number, because the mean of its divisors is an integer number (4007782125).

Almost surely, 2121132331144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121132331144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128249028000).

121132331144 is an abundant number, since it is smaller than the sum of its proper divisors (135365724856).

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

121132331144 is a wasteful number, since it uses less digits than its factorization.

121132331144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34038 (or 34034 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 121132331144 its reverse (441133231121), we get a palindrome (562265562265).

The spelling of 121132331144 in words is "one hundred twenty-one billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 1459 2552 2918 5836 11672 16049 32098 32533 42311 64196 65066 84622 128392 130132 169244 260264 338488 357863 465421 715726 930842 943457 1431452 1861684 1886914 2862904 3723368 3773828 7547656 10378027 20756054 41512108 47465647 83024216 94931294 189862588 379725176 522122117 1044244234 1376503763 2088488468 2753007526 4176976936 5506015052 11012030104 15141541393 30283082786 60566165572 121132331144