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121180332 = 223721383191
BaseRepresentation
bin1110011100100…
…01000010101100
322110000121011110
413032101002230
5222010232312
620005152020
73001005300
oct716210254
9273017143
10121180332
1162448639
12346bb610
131c14b250
1412145d00
15a98a43c
hex73910ac

121180332 has 144 divisors (see below), whose sum is σ = 360364032. Its totient is φ = 31409280.

The previous prime is 121180331. The next prime is 121180337. The reversal of 121180332 is 233081121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 121180299 and 121180308.

It is not an unprimeable number, because it can be changed into a prime (121180331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 634357 + ... + 634547.

It is an arithmetic number, because the mean of its divisors is an integer number (2502528).

Almost surely, 2121180332 is an apocalyptic number.

121180332 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 121180332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180182016).

121180332 is an abundant number, since it is smaller than the sum of its proper divisors (239183700).

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

121180332 is a wasteful number, since it uses less digits than its factorization.

121180332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 121180332 is about 11008.1938573047. The cubic root of 121180332 is about 494.8543352638.

The spelling of 121180332 in words is "one hundred twenty-one million, one hundred eighty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 83 84 91 98 147 156 166 182 191 196 249 273 294 332 364 382 498 546 573 581 588 637 764 996 1079 1092 1146 1162 1274 1337 1743 1911 2158 2292 2324 2483 2548 2674 3237 3486 3822 4011 4067 4316 4966 5348 6474 6972 7449 7553 7644 8022 8134 9359 9932 12201 12948 14898 15106 15853 16044 16268 17381 18718 22659 24402 28077 29796 30212 31706 34762 37436 45318 47559 48804 52143 52871 56154 63412 69524 90636 95118 104286 105742 110971 112308 121667 158613 190236 206089 208572 211484 221942 243334 317226 332913 365001 412178 443884 486668 618267 634452 665826 730002 776797 824356 1236534 1331652 1442623 1460004 1553594 2330391 2473068 2885246 3107188 4327869 4660782 5770492 8655738 9321564 10098361 17311476 20196722 30295083 40393444 60590166 121180332