Search a number
-
+
12000010021000 = 235329413793449
BaseRepresentation
bin1010111010011111100001…
…0101011010100010001000
31120111012010022221020000121
42232213320111122202020
53033102010031133000
641304421204513024
72345654302130161
oct256477025324210
946435108836017
1012000010021000
1139071a28a9821
1214198230ab774
136907997bab81
142d6b3706a768
1515c233c4eb1a
hexae9f855a888

12000010021000 has 64 divisors (see below), whose sum is σ = 29048300190000. Its totient is φ = 4634486617600.

The previous prime is 12000010020983. The next prime is 12000010021007. The reversal of 12000010021000 is 12001000021.

It can be written as a sum of positive squares in 8 ways, for example, as 3316179397444 + 8683830623556 = 1821038^2 + 2946834^2 .

It is not an unprimeable number, because it can be changed into a prime (12000010021007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206867725 + ... + 206925724.

Almost surely, 212000010021000 is an apocalyptic number.

12000010021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000010021000 is an abundant number, since it is smaller than the sum of its proper divisors (17048290169000).

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

12000010021000 is a wasteful number, since it uses less digits than its factorization.

12000010021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413793499 (or 413793485 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12000010021000 its reverse (12001000021), we get a palindrome (12012011021021).

The spelling of 12000010021000 in words is "twelve trillion, ten million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 413793449 827586898 1655173796 2068967245 3310347592 4137934490 8275868980 10344836225 12000010021 16551737960 20689672450 24000020042 41379344900 48000040084 51724181125 60000050105 82758689800 96000080168 103448362250 120000100210 206896724500 240000200420 300000250525 413793449000 480000400840 600000501050 1200001002100 1500001252625 2400002004200 3000002505250 6000005010500 12000010021000