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121326016 = 2671072531
BaseRepresentation
bin1110011101101…
…00100111000000
322110022000000011
413032310213000
5222024413031
620012234304
73002153110
oct716644700
9273260004
10121326016
1162538039
123476b994
131c19c656
1412183040
15a9b86b1
hex73b49c0

121326016 has 56 divisors (see below), whose sum is σ = 277831296. Its totient is φ = 51490560.

The previous prime is 121325993. The next prime is 121326017. The reversal of 121326016 is 610623121.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121326017) 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 7 ways as a sum of consecutive naturals, for example, 46671 + ... + 49201.

Almost surely, 2121326016 is an apocalyptic number.

121326016 is a gapful number since it is divisible by the number (16) 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 121326016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138915648).

121326016 is an abundant number, since it is smaller than the sum of its proper divisors (156505280).

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

121326016 is a wasteful number, since it uses less digits than its factorization.

121326016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 121326016 is about 11014.8089406943. The cubic root of 121326016 is about 495.0525618436.

Adding to 121326016 its reverse (610623121), we get a palindrome (731949137).

The spelling of 121326016 in words is "one hundred twenty-one million, three hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 214 224 428 448 749 856 1498 1712 2531 2996 3424 5062 5992 6848 10124 11984 17717 20248 23968 35434 40496 47936 70868 80992 141736 161984 270817 283472 541634 566944 1083268 1133888 1895719 2166536 3791438 4333072 7582876 8666144 15165752 17332288 30331504 60663008 121326016