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121106124 = 22337315361
BaseRepresentation
bin1110011011111…
…10111011001100
322102212211101000
413031332323030
5222000343444
620003420300
73000246036
oct715767314
9272784330
10121106124
11623a7907
1234684690
131c123539
1412126c56
15a973469
hex737eecc

121106124 has 48 divisors (see below), whose sum is σ = 318300640. Its totient is φ = 39813120.

The previous prime is 121106101. The next prime is 121106129. The reversal of 121106124 is 421601121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121106097 and 121106106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121106129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204 + ... + 15564.

Almost surely, 2121106124 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 121106124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159150320).

121106124 is an abundant number, since it is smaller than the sum of its proper divisors (197194516).

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

121106124 is a wasteful number, since it uses less digits than its factorization.

121106124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15447 (or 15439 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121106124 is about 11004.8227609535. The cubic root of 121106124 is about 494.7533022321.

Adding to 121106124 its reverse (421601121), we get a palindrome (542707245).

The spelling of 121106124 in words is "one hundred twenty-one million, one hundred six thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 15361 30722 46083 61444 92166 138249 184332 276498 414747 552996 829494 1121353 1658988 2242706 3364059 4485412 6728118 10092177 13456236 20184354 30276531 40368708 60553062 121106124