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121168152 = 23327435591
BaseRepresentation
bin1110011100011…
…10000100011000
322102222222110100
413032032010120
5222004340102
620005015400
73000624630
oct716160430
9272888410
10121168152
116243a476
12346b4560
131c145841
14121416c0
15a986a1c
hex738e118

121168152 has 96 divisors (see below), whose sum is σ = 383834880. Its totient is φ = 33808320.

The previous prime is 121168139. The next prime is 121168153. The reversal of 121168152 is 251861121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121168153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18877 + ... + 24467.

It is an arithmetic number, because the mean of its divisors is an integer number (3998280).

Almost surely, 2121168152 is an apocalyptic number.

121168152 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 121168152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191917440).

121168152 is an abundant number, since it is smaller than the sum of its proper divisors (262666728).

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

121168152 is a wasteful number, since it uses less digits than its factorization.

121168152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5653 (or 5646 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

The square root of 121168152 is about 11007.6406191336. The cubic root of 121168152 is about 494.8377552142.

The spelling of 121168152 in words is "one hundred twenty-one million, one hundred sixty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2408 2709 3096 3612 5418 5591 7224 10836 11182 16773 21672 22364 33546 39137 44728 50319 67092 78274 100638 117411 134184 156548 201276 234822 240413 313096 352233 402552 469644 480826 704466 721239 939288 961652 1408932 1442478 1682891 1923304 2163717 2817864 2884956 3365782 4327434 5048673 5769912 6731564 8654868 10097346 13463128 15146019 17309736 20194692 30292038 40389384 60584076 121168152