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121663168 = 2611434019
BaseRepresentation
bin1110100000001…
…10111011000000
322110221010111021
413100012323000
5222121210133
620023355224
73005056054
oct720067300
9273833437
10121663168
1162748380
12348b2b14
131c289c53
141222dc64
15aa3352d
hex7406ec0

121663168 has 56 divisors (see below), whose sum is σ = 269565120. Its totient is φ = 54001920.

The previous prime is 121663163. The next prime is 121663177. The reversal of 121663168 is 861366121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121663163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28263 + ... + 32281.

Almost surely, 2121663168 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 121663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134782560).

121663168 is an abundant number, since it is smaller than the sum of its proper divisors (147901952).

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

121663168 is a wasteful number, since it uses less digits than its factorization.

121663168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4075 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 121663168 is about 11030.1028100376. The cubic root of 121663168 is about 495.5107037399.

The spelling of 121663168 in words is "one hundred twenty-one million, six hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 172 176 344 352 473 688 704 946 1376 1892 2752 3784 4019 7568 8038 15136 16076 30272 32152 44209 64304 88418 128608 172817 176836 257216 345634 353672 691268 707344 1382536 1414688 1900987 2765072 2829376 3801974 5530144 7603948 11060288 15207896 30415792 60831584 121663168