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2120221000121 = 72389111233461
BaseRepresentation
bin11110110110100111000…
…001010000000110111001
321111200122211212102122012
4132312213001100012321
5234214203034000441
64302003250135305
7306116024100500
oct36664701200671
97450584772565
102120221000121
117481a9531634
122a2ab5881535
13124c22479433
14748952c3837
153a2425899eb
hex1eda70501b9

2120221000121 has 12 divisors (see below), whose sum is σ = 2472719860260. Its totient is φ = 1812660464160.

The previous prime is 2120221000109. The next prime is 2120221000153. The reversal of 2120221000121 is 1210001220212.

It can be written as a sum of positive squares in 2 ways, for example, as 1132811120896 + 987409879225 = 1064336^2 + 993685^2 .

It is not a de Polignac number, because 2120221000121 - 210 = 2120220999097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2120221000096 and 2120221000105.

It is not an unprimeable number, because it can be changed into a prime (2120221000621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55597670 + ... + 55635791.

It is an arithmetic number, because the mean of its divisors is an integer number (206059988355).

Almost surely, 22120221000121 is an apocalyptic number.

It is an amenable number.

2120221000121 is a deficient number, since it is larger than the sum of its proper divisors (352498860139).

2120221000121 is a wasteful number, since it uses less digits than its factorization.

2120221000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111233864 (or 111233857 counting only the distinct ones).

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

Adding to 2120221000121 its reverse (1210001220212), we get a palindrome (3330222220333).

The spelling of 2120221000121 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 49 389 2723 19061 111233461 778634227 5450439589 43269816329 302888714303 2120221000121