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121411152 = 24324717939
BaseRepresentation
bin1110011110010…
…01011001010000
322110110022210100
413033021121100
5222040124102
620014132400
73002656242
oct717113120
9273408710
10121411152
1162595aa5
12347b1100
131c1cc325
14121a6092
15a9d3a1c
hex73c9650

121411152 has 60 divisors (see below), whose sum is σ = 347031360. Its totient is φ = 39607104.

The previous prime is 121411141. The next prime is 121411153. The reversal of 121411152 is 251114121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121411153) 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 11 ways as a sum of consecutive naturals, for example, 2202 + ... + 15737.

It is an arithmetic number, because the mean of its divisors is an integer number (5783856).

Almost surely, 2121411152 is an apocalyptic number.

121411152 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 121411152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173515680).

121411152 is an abundant number, since it is smaller than the sum of its proper divisors (225620208).

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

121411152 is a wasteful number, since it uses less digits than its factorization.

121411152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18000 (or 17991 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 121411152 is about 11018.6728783461. The cubic root of 121411152 is about 495.1683296506.

Adding to 121411152 its reverse (251114121), we get a palindrome (372525273).

The spelling of 121411152 in words is "one hundred twenty-one million, four hundred eleven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 17939 35878 53817 71756 107634 143512 161451 215268 287024 322902 430536 645804 843133 861072 1291608 1686266 2529399 2583216 3372532 5058798 6745064 7588197 10117596 13490128 15176394 20235192 30352788 40470384 60705576 121411152