Search a number
-
+
121376112 = 243111317683
BaseRepresentation
bin1110011110000…
…00110101110000
322110101112201120
413033000311300
5222033013422
620013302240
73002452134
oct717006560
9273345646
10121376112
1162571740
1234794980
131c1b93b0
14121973c4
15a9c845c
hex73c0d70

121376112 has 80 divisors (see below), whose sum is σ = 368393088. Its totient is φ = 33949440.

The previous prime is 121376111. The next prime is 121376117. The reversal of 121376112 is 211673121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121376111) by changing a digit.

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, 1978 + ... + 15705.

Almost surely, 2121376112 is an apocalyptic number.

121376112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121376112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184196544).

121376112 is an abundant number, since it is smaller than the sum of its proper divisors (247016976).

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

121376112 is a wasteful number, since it uses less digits than its factorization.

121376112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17718 (or 17712 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 121376112 is about 11017.0827354613. The cubic root of 121376112 is about 495.1206888658.

The spelling of 121376112 in words is "one hundred twenty-one million, three hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 17683 35366 53049 70732 106098 141464 194513 212196 229879 282928 389026 424392 459758 583539 689637 778052 848784 919516 1167078 1379274 1556104 1839032 2334156 2528669 2758548 3112208 3678064 4668312 5057338 5517096 7586007 9336624 10114676 11034192 15172014 20229352 30344028 40458704 60688056 121376112