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120020200200121 = 1321967093610301
BaseRepresentation
bin11011010010100001100001…
…011001100001011110111001
3120201221211010010000112010111
4123102201201121201132321
5111212402332222400441
61103132304021144321
734165113306100654
oct3322414131413671
9521854103015114
10120020200200121
1135273310102581
121156487625b0a1
1351c7b1942ba00
14218d019b8a89b
15dd2002c6a081
hex6d28616617b9

120020200200121 has 12 divisors (see below), whose sum is σ = 129963398674860. Its totient is φ = 110787283214400.

The previous prime is 120020200200119. The next prime is 120020200200127. The reversal of 120020200200121 is 121002002020021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 82810200200121 + 37210000000000 = 9100011^2 + 6100000^2 .

It is not a de Polignac number, because 120020200200121 - 21 = 120020200200119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120020200200127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31438671 + ... + 35048971.

It is an arithmetic number, because the mean of its divisors is an integer number (10830283222905).

Almost surely, 2120020200200121 is an apocalyptic number.

It is an amenable number.

120020200200121 is a deficient number, since it is larger than the sum of its proper divisors (9943198474739).

120020200200121 is a wasteful number, since it uses less digits than its factorization.

120020200200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807036 (or 3807023 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120020200200121 its reverse (121002002020021), we get a palindrome (241022202220142).

The spelling of 120020200200121 in words is "one hundred twenty trillion, twenty billion, two hundred million, two hundred thousand, one hundred twenty-one".

Divisors: 1 13 169 196709 2557217 3610301 33243821 46933913 610140869 710178699409 9232323092317 120020200200121