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121315136020 = 225133712610721
BaseRepresentation
bin111000011111011110…
…0100001001000010100
3102121010122211102221221
41300332330201020110
53441423133323040
6131421552220124
711523205433131
oct1607674411024
9377118742857
10121315136020
11474a42602a1
121b61823a644
13b5947c1870
145c2bc87588
15325068574a
hex1c3ef21214

121315136020 has 48 divisors (see below), whose sum is σ = 281773972368. Its totient is φ = 43582648320.

The previous prime is 121315136009. The next prime is 121315136023. The reversal of 121315136020 is 20631513121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 187470864 + 121127665156 = 13692^2 + 348034^2 .

It is a super-2 number, since 2×1213151360202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121315136023) 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, 6295741 + ... + 6314980.

It is an arithmetic number, because the mean of its divisors is an integer number (5870291091).

Almost surely, 2121315136020 is an apocalyptic number.

121315136020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121315136020 is an abundant number, since it is smaller than the sum of its proper divisors (160458836348).

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

121315136020 is a wasteful number, since it uses less digits than its factorization.

121315136020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12610780 (or 12610778 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 121315136020 its reverse (20631513121), we get a palindrome (141946649141).

The spelling of 121315136020 in words is "one hundred twenty-one billion, three hundred fifteen million, one hundred thirty-six thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 12610721 25221442 50442884 63053605 126107210 163939373 252214420 327878746 466596677 655757492 819696865 933193354 1639393730 1866386708 2332983385 3278787460 4665966770 6065756801 9331933540 12131513602 24263027204 30328784005 60657568010 121315136020