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120100022022020 = 2256005001101101
BaseRepresentation
bin11011010011101011110111…
…001001100110111110000100
3120202020110011000212012201112
4123103223313021212332010
5111220204321114201040
61103233104411544152
734203640335302615
oct3323536711467604
9522213130765645
10120100022022020
11352a4151480827
121157823245b058
1352024ca679ca1
142192c2cdc3c0c
15dd4125790365
hex6d3af7266f84

120100022022020 has 12 divisors (see below), whose sum is σ = 252210046246284. Its totient is φ = 48040008808800.

The previous prime is 120100022022017. The next prime is 120100022022023. The reversal of 120100022022020 is 20220220001021.

It is an interprime number because it is at equal distance from previous prime (120100022022017) and next prime (120100022022023).

It can be written as a sum of positive squares in 2 ways, for example, as 78993664314244 + 41106357707776 = 8887838^2 + 6411424^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120100022021986 and 120100022022004.

It is not an unprimeable number, because it can be changed into a prime (120100022022023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3002500550531 + ... + 3002500550570.

It is an arithmetic number, because the mean of its divisors is an integer number (21017503853857).

Almost surely, 2120100022022020 is an apocalyptic number.

120100022022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120100022022020 is an abundant number, since it is smaller than the sum of its proper divisors (132110024224264).

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

120100022022020 is a wasteful number, since it uses less digits than its factorization.

120100022022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6005001101110 (or 6005001101108 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120100022022020 its reverse (20220220001021), we get a palindrome (140320242023041).

The spelling of 120100022022020 in words is "one hundred twenty trillion, one hundred billion, twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 6005001101101 12010002202202 24020004404404 30025005505505 60050011011010 120100022022020