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121141010040 = 23352453341149
BaseRepresentation
bin111000011010010010…
…0010001111001111000
3102120200112011221000120
41300310210101321320
53441044044310130
6131352412133240
711515662411201
oct1606444217170
9376615157016
10121141010040
1147414a3a926
121b589a67220
13b5676c653b
145c12abc5a8
15324023c910
hex1c34911e78

121141010040 has 64 divisors (see below), whose sum is σ = 363446676000. Its totient is φ = 32302167552.

The previous prime is 121141009991. The next prime is 121141010047. The reversal of 121141010040 is 40010141121.

It is a super-3 number, since 3×1211410100403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121141010047) 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 15 ways as a sum of consecutive naturals, for example, 2923386 + ... + 2964534.

Almost surely, 2121141010040 is an apocalyptic number.

121141010040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121141010040 is an abundant number, since it is smaller than the sum of its proper divisors (242305665960).

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

121141010040 is a wasteful number, since it uses less digits than its factorization.

121141010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65696 (or 65692 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121141010040 its reverse (40010141121), we get a palindrome (161151151161).

The spelling of 121141010040 in words is "one hundred twenty-one billion, one hundred forty-one million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 24533 41149 49066 73599 82298 98132 122665 123447 147198 164596 196264 205745 245330 246894 294396 329192 367995 411490 490660 493788 588792 617235 735990 822980 981320 987576 1234470 1471980 1645960 2468940 2943960 4937880 1009508417 2019016834 3028525251 4038033668 5047542085 6057050502 8076067336 10095084170 12114101004 15142626255 20190168340 24228202008 30285252510 40380336680 60570505020 121141010040