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121334121000 = 23325313481569
BaseRepresentation
bin111000100000000010…
…0111100001000101000
3102121011222112222110100
41301000010330020220
53441443013333000
6131423511145400
711523526004001
oct1610004741050
9377158488410
10121334121000
1147503a47a64
121b622675260
13b59870ac91
145c305ca1a8
153252185a00
hex1c4013c228

121334121000 has 96 divisors (see below), whose sum is σ = 410109359400. Its totient is φ = 32355763200.

The previous prime is 121334120989. The next prime is 121334121001. The reversal of 121334121000 is 121433121.

121334121000 is a `hidden beast` number, since 121 + 33 + 412 + 100 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29841180516 + 91492940484 = 172746^2 + 302478^2 .

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

It is not an unprimeable number, because it can be changed into a prime (121334121001) 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, 6731785 + ... + 6749784.

Almost surely, 2121334121000 is an apocalyptic number.

121334121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121334121000 is an abundant number, since it is smaller than the sum of its proper divisors (288775238400).

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

121334121000 is a wasteful number, since it uses less digits than its factorization.

121334121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13481596 (or 13481579 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121334121000 its reverse (121433121), we get a palindrome (121455554121).

The spelling of 121334121000 in words is "one hundred twenty-one billion, three hundred thirty-four million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 13481569 26963138 40444707 53926276 67407845 80889414 107852552 121334121 134815690 161778828 202223535 242668242 269631380 323557656 337039225 404447070 485336484 539262760 606670605 674078450 808894140 970672968 1011117675 1213341210 1348156900 1617788280 1685196125 2022235350 2426682420 2696313800 3033353025 3370392250 4044470700 4853364840 5055588375 6066706050 6740784500 8088941400 10111176750 12133412100 13481569000 15166765125 20222353500 24266824200 30333530250 40444707000 60667060500 121334121000