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12011202010000 = 24541201120201
BaseRepresentation
bin1010111011001001001101…
…1011011101101110010000
31120112021000022122011122201
42232302103123131232100
53033242420203310000
641313511532012544
72346531532353544
oct256622333355620
946467008564581
1012011202010000
113910a16448806
12141ba27301154
1369186142637b
142d74b9635a24
1515c68b5b496a
hexaec936ddb90

12011202010000 has 50 divisors (see below), whose sum is σ = 29080321210622. Its totient is φ = 4804480800000.

The previous prime is 12011202009959. The next prime is 12011202010009. The reversal of 12011202010000 is 1020211021.

It can be written as a sum of positive squares in 5 ways, for example, as 1580059056016 + 10431142953984 = 1257004^2 + 3229728^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12011202010009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 600550101 + ... + 600570100.

Almost surely, 212011202010000 is an apocalyptic number.

12011202010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011202010000 is an abundant number, since it is smaller than the sum of its proper divisors (17069119200622).

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

12011202010000 is an equidigital number, since it uses as much as digits as its factorization.

12011202010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201120229 (or 1201120208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12011202010000 its reverse (1020211021), we get a palindrome (12012222221021).

The spelling of 12011202010000 in words is "twelve trillion, eleven billion, two hundred two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1201120201 2402240402 4804480804 6005601005 9608961608 12011202010 19217923216 24022404020 30028005025 48044808040 60056010050 96089616080 120112020100 150140025125 240224040200 300280050250 480448080400 600560100500 750700125625 1201120201000 1501400251250 2402240402000 3002800502500 6005601005000 12011202010000