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121040217252 = 22325363438269
BaseRepresentation
bin111000010111010001…
…1110010010010100100
3102120102111112010022100
41300232203302102210
53440342243423002
6131334411532100
711513326604523
oct1605643622244
9376374463270
10121040217252
11473730577a9
121b56015a030
13b54c865c36
145c035624ba
15323647d11c
hex1c2e8f24a4

121040217252 has 36 divisors (see below), whose sum is σ = 311735658780. Its totient is φ = 39585479232.

The previous prime is 121040217223. The next prime is 121040217253. The reversal of 121040217252 is 252712040121.

It is a happy number.

121040217252 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 402 + 1 + 7 + 252 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110493748836 + 10546468416 = 332406^2 + 102696^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1210402172522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121040217253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31717227 + ... + 31721042.

It is an arithmetic number, because the mean of its divisors is an integer number (8659323855).

Almost surely, 2121040217252 is an apocalyptic number.

121040217252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121040217252 is an abundant number, since it is smaller than the sum of its proper divisors (190695441528).

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

121040217252 is a wasteful number, since it uses less digits than its factorization.

121040217252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63438332 (or 63438327 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 121040217252 its reverse (252712040121), we get a palindrome (373752257373).

The spelling of 121040217252 in words is "one hundred twenty-one billion, forty million, two hundred seventeen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 63438269 126876538 190314807 253753076 380629614 570944421 761259228 1141888842 2283777684 3362228257 6724456514 10086684771 13448913028 20173369542 30260054313 40346739084 60520108626 121040217252