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121110088 = 231123531129
BaseRepresentation
bin1110011011111…
…11111001001000
322102220000210211
413031333321020
5222001010323
620003450504
73000263431
oct715777110
9272800724
10121110088
11623aa890
1234686a34
131c125298
1412128488
15a97470d
hex737fe48

121110088 has 64 divisors (see below), whose sum is σ = 263606400. Its totient is φ = 51617280.

The previous prime is 121110079. The next prime is 121110089. The reversal of 121110088 is 880011121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (121110089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106708 + ... + 107836.

It is an arithmetic number, because the mean of its divisors is an integer number (4118850).

Almost surely, 2121110088 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 121110088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131803200).

121110088 is an abundant number, since it is smaller than the sum of its proper divisors (142496312).

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

121110088 is a wasteful number, since it uses less digits than its factorization.

121110088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 22.

The square root of 121110088 is about 11005.0028623349. The cubic root of 121110088 is about 494.7587001994.

The spelling of 121110088 in words is "one hundred twenty-one million, one hundred ten thousand, eighty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 53 88 92 106 184 212 253 424 506 583 1012 1129 1166 1219 2024 2258 2332 2438 4516 4664 4876 9032 9752 12419 13409 24838 25967 26818 49676 51934 53636 59837 99352 103868 107272 119674 207736 239348 285637 478696 571274 658207 1142548 1316414 1376251 2285096 2632828 2752502 5265656 5505004 11010008 15138761 30277522 60555044 121110088