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121122010020020 = 22534131774421477
BaseRepresentation
bin11011100010100011101010…
…011000011011100010110100
3120212212011002010120200000212
4123202203222120123202310
5111333430334031120040
61105334403325324552
734340530215042242
oct3342435230334264
9525764063520025
10121122010020020
1135658613014a99
1211702310106758
1352779ab154919
1421ca49d765792
15e009dc563d65
hex6e28ea61b8b4

121122010020020 has 24 divisors (see below), whose sum is σ = 254430746887464. Its totient is φ = 48434608608896.

The previous prime is 121122010019921. The next prime is 121122010020061. The reversal of 121122010020020 is 20020010221121.

It can be written as a sum of positive squares in 4 ways, for example, as 58475354898724 + 62646655121296 = 7646918^2 + 7914964^2 .

It is a super-2 number, since 2×1211220100200202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121122010019977 and 121122010020004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 887142479 + ... + 887278998.

It is an arithmetic number, because the mean of its divisors is an integer number (10601281120311).

Almost surely, 2121122010020020 is an apocalyptic number.

121122010020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122010020020 is an abundant number, since it is smaller than the sum of its proper divisors (133308736867444).

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

121122010020020 is a wasteful number, since it uses less digits than its factorization.

121122010020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774424899 (or 1774424897 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121122010020020 its reverse (20020010221121), we get a palindrome (141142020241141).

The spelling of 121122010020020 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, ten million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 3413 6826 13652 17065 34130 68260 1774421477 3548842954 7097685908 8872107385 17744214770 35488429540 6056100501001 12112201002002 24224402004004 30280502505005 60561005010010 121122010020020