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121282056 = 2333731637
BaseRepresentation
bin1110011101010…
…01111000001000
322110012202201000
413032221320020
5222022011211
620011255000
73001611000
oct716517010
9273182630
10121282056
1162508005
123474a460
131c18563c
1412171000
15a9aa656
hex73a9e08

121282056 has 128 divisors (see below), whose sum is σ = 393120000. Its totient is φ = 34630848.

The previous prime is 121282033. The next prime is 121282061. The reversal of 121282056 is 650282121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 73270 + ... + 74906.

It is an arithmetic number, because the mean of its divisors is an integer number (3071250).

Almost surely, 2121282056 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 121282056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560000).

121282056 is an abundant number, since it is smaller than the sum of its proper divisors (271837944).

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

121282056 is a wasteful number, since it uses less digits than its factorization.

121282056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 121282056 is about 11012.8132645569. The cubic root of 121282056 is about 494.9927638979.

The spelling of 121282056 in words is "one hundred twenty-one million, two hundred eighty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 441 504 588 686 756 882 1029 1176 1323 1372 1512 1637 1764 2058 2646 2744 3087 3274 3528 4116 4911 5292 6174 6548 8232 9261 9822 10584 11459 12348 13096 14733 18522 19644 22918 24696 29466 34377 37044 39288 44199 45836 58932 68754 74088 80213 88398 91672 103131 117864 137508 160426 176796 206262 240639 275016 309393 320852 353592 412524 481278 561491 618786 641704 721917 825048 962556 1122982 1237572 1443834 1684473 1925112 2165751 2245964 2475144 2887668 3368946 4331502 4491928 5053419 5775336 6737892 8663004 10106838 13475784 15160257 17326008 20213676 30320514 40427352 60641028 121282056