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121234422340 = 2259976079961
BaseRepresentation
bin111000011101000100…
…0100111101001000100
3102120221000221202121101
41300322020213221010
53441242003003330
6131405550225444
711521205405233
oct1607210475104
9376830852541
10121234422340
1147462741979
121b5b51b5284
13b580b716a5
145c21276b1a
1532485404ca
hex1c3a227a44

121234422340 has 24 divisors (see below), whose sum is σ = 254847687192. Its totient is φ = 48445121280.

The previous prime is 121234422317. The next prime is 121234422341. The reversal of 121234422340 is 43224432121.

It can be written as a sum of positive squares in 4 ways, for example, as 49540075776 + 71694346564 = 222576^2 + 267758^2 .

It is a super-3 number, since 3×1212344223403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 121234422299 and 121234422308.

It is not an unprimeable number, because it can be changed into a prime (121234422341) 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, 3020041 + ... + 3059920.

It is an arithmetic number, because the mean of its divisors is an integer number (10618653633).

Almost surely, 2121234422340 is an apocalyptic number.

121234422340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121234422340 is an abundant number, since it is smaller than the sum of its proper divisors (133613264852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121234422340 is a wasteful number, since it uses less digits than its factorization.

121234422340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6080967 (or 6080965 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 121234422340 its reverse (43224432121), we get a palindrome (164458854461).

The spelling of 121234422340 in words is "one hundred twenty-one billion, two hundred thirty-four million, four hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 997 1994 3988 4985 9970 19940 6079961 12159922 24319844 30399805 60799610 121599220 6061721117 12123442234 24246884468 30308605585 60617211170 121234422340