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121332414121 = 2922811834229
BaseRepresentation
bin111000011111111111…
…0011011011010101001
3102121011212100021001121
41300333332123122221
53441442044222441
6131423410415241
711523505334452
oct1607776333251
9377155307047
10121332414121
1147502a91616
121b621b91521
13b5982610a9
145c302a4129
153251e49dd1
hex1c3ff9b6a9

121332414121 has 8 divisors (see below), whose sum is σ = 125571385800. Its totient is φ = 117097115520.

The previous prime is 121332414101. The next prime is 121332414139. The reversal of 121332414121 is 121414233121.

It can be written as a sum of positive squares in 4 ways, for example, as 12828054121 + 108504360000 = 113261^2 + 329400^2 .

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 121332414121 - 215 = 121332381353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121332414101) 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, 850966 + ... + 983263.

It is an arithmetic number, because the mean of its divisors is an integer number (15696423225).

Almost surely, 2121332414121 is an apocalyptic number.

It is an amenable number.

121332414121 is a deficient number, since it is larger than the sum of its proper divisors (4238971679).

121332414121 is a wasteful number, since it uses less digits than its factorization.

121332414121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836539.

The product of its digits is 1152, while the sum is 25.

Adding to 121332414121 its reverse (121414233121), we get a palindrome (242746647242).

The spelling of 121332414121 in words is "one hundred twenty-one billion, three hundred thirty-two million, four hundred fourteen thousand, one hundred twenty-one".

Divisors: 1 29 2281 66149 1834229 53192641 4183876349 121332414121