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122121441 = 32131043773
BaseRepresentation
bin1110100011101…
…10110011100001
322111210102010100
413101312303201
5222230341231
620041253013
73012005121
oct721666341
9274712110
10122121441
1162a30712
1234a94169
131c3ba710
141230cc81
15aac41e6
hex7476ce1

122121441 has 12 divisors (see below), whose sum is σ = 189966868. Its totient is φ = 75151584.

The previous prime is 122121437. The next prime is 122121449. The reversal of 122121441 is 144121221.

122121441 is a `hidden beast` number, since 1 + 221 + 2 + 1 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32251041 + 89870400 = 5679^2 + 9480^2 .

It is not a de Polignac number, because 122121441 - 22 = 122121437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122121449) 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, 521770 + ... + 522003.

Almost surely, 2122121441 is an apocalyptic number.

It is an amenable number.

122121441 is a deficient number, since it is larger than the sum of its proper divisors (67845427).

122121441 is a wasteful number, since it uses less digits than its factorization.

122121441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043792 (or 1043789 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 122121441 is about 11050.8570255886. The cubic root of 122121441 is about 496.1320768305.

Adding to 122121441 its reverse (144121221), we get a palindrome (266242662).

The spelling of 122121441 in words is "one hundred twenty-two million, one hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 1043773 3131319 9393957 13569049 40707147 122121441