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120122121221021 = 7313712011011021
BaseRepresentation
bin11011010100000000011100…
…010111010111001110011101
3120202022120012011101211122102
4123110000130113113032131
5111221040101013033041
61103251201330254445
734205352100346333
oct3324003427271635
9522276164354572
10120122121221021
1135302561941057
121158057b427425
13520460cc21cba
142193d27dc7b53
15dd49ba96609b
hex6d401c5d739d

120122121221021 has 8 divisors (see below), whose sum is σ = 122656444556664. Its totient is φ = 117611819907840.

The previous prime is 120122121221017. The next prime is 120122121221083.

120122121221021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 62159190492100 + 57962930728921 = 7884110^2 + 7613339^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120122121221021 - 22 = 120122121221017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120122121220984 and 120122121221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122121221521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6005495510 + ... + 6005515511.

It is an arithmetic number, because the mean of its divisors is an integer number (15332055569583).

Almost surely, 2120122121221021 is an apocalyptic number.

It is an amenable number.

120122121221021 is a deficient number, since it is larger than the sum of its proper divisors (2534323335643).

120122121221021 is a wasteful number, since it uses less digits than its factorization.

120122121221021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12011011231.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 120122121221021 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 73 137 10001 12011011021 876803804533 1645508509877 120122121221021