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121145142520 = 23512723847469
BaseRepresentation
bin111000011010011010…
…0000010110011111000
3102120200210221212201101
41300310310002303320
53441101124030040
6131353040501144
711516042502223
oct1606464026370
9376623855641
10121145142520
11474173026a6
121b58b31a7b4
13b5685124ac
145c134765ba
1532407a709a
hex1c34d02cf8

121145142520 has 32 divisors (see below), whose sum is σ = 274722854400. Its totient is φ = 48076495488.

The previous prime is 121145142473. The next prime is 121145142529. The reversal of 121145142520 is 25241541121.

It is a super-3 number, since 3×1211451425203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121145142529) 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 7 ways as a sum of consecutive naturals, for example, 11918655 + ... + 11928814.

It is an arithmetic number, because the mean of its divisors is an integer number (8585089200).

Almost surely, 2121145142520 is an apocalyptic number.

121145142520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121145142520 is an abundant number, since it is smaller than the sum of its proper divisors (153577711880).

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

121145142520 is a wasteful number, since it uses less digits than its factorization.

121145142520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23847607 (or 23847603 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 121145142520 its reverse (25241541121), we get a palindrome (146386683641).

The spelling of 121145142520 in words is "one hundred twenty-one billion, one hundred forty-five million, one hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1270 2540 5080 23847469 47694938 95389876 119237345 190779752 238474690 476949380 953898760 3028628563 6057257126 12114514252 15143142815 24229028504 30286285630 60572571260 121145142520