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20121120000001 = 7910116775120107
BaseRepresentation
bin1001001001100110100000…
…01101011100100000000001
32122020120010110010000022201
410210303100031130200001
510114131023210000001
6110443303120033201
74144463053026256
oct444632015344001
978216113100281
1020121120000001
116458356757799
12230b736462801
13b2c54b5321a7
144d7c2022b42d
1524d5e3323501
hex124cd035c801

20121120000001 has 32 divisors (see below), whose sum is σ = 20729372590080. Its totient is φ = 19524936600000.

The previous prime is 20121119999999. The next prime is 20121120000017. The reversal of 20121120000001 is 10000002112102.

It is a cyclic number.

It is not a de Polignac number, because 20121120000001 - 21 = 20121119999999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20121120000041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000692190 + ... + 1000712296.

It is an arithmetic number, because the mean of its divisors is an integer number (647792893440).

Almost surely, 220121120000001 is an apocalyptic number.

It is an amenable number.

20121120000001 is a deficient number, since it is larger than the sum of its proper divisors (608252590079).

20121120000001 is a wasteful number, since it uses less digits than its factorization.

20121120000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21205.

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

Adding to 20121120000001 its reverse (10000002112102), we get a palindrome (30121122112103).

The spelling of 20121120000001 in words is "twenty trillion, one hundred twenty-one billion, one hundred twenty million, one", and thus it is an aban number.

Divisors: 1 79 101 167 751 7979 13193 16867 20107 59329 75851 125417 1332493 1588453 2030807 3357869 5992229 9907943 12667117 15100357 160433753 265271651 339144769 1000702243 1192928203 1525136057 2521759619 26792436751 120485748503 199219009901 254697721519 20121120000001