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122012520 = 23357145253
BaseRepresentation
bin1110100010111…
…00001101101000
322111120212201020
413101130031220
5222213400040
620035052440
73011042430
oct721341550
9274525636
10122012520
11629668a3
1234a41120
131c37cc76
14122c12c0
15aaa1cd0
hex745c368

122012520 has 64 divisors (see below), whose sum is σ = 418331520. Its totient is φ = 27888384.

The previous prime is 122012507. The next prime is 122012533. The reversal of 122012520 is 25210221.

It is an interprime number because it is at equal distance from previous prime (122012507) and next prime (122012533).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122012520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71787 + ... + 73466.

It is an arithmetic number, because the mean of its divisors is an integer number (6536430).

Almost surely, 2122012520 is an apocalyptic number.

122012520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012520 is an abundant number, since it is smaller than the sum of its proper divisors (296319000).

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

122012520 is a wasteful number, since it uses less digits than its factorization.

122012520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145274 (or 145270 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 122012520 is about 11045.9277564177. The cubic root of 122012520 is about 495.9845316890.

Adding to 122012520 its reverse (25210221), we get a palindrome (147222741).

The spelling of 122012520 in words is "one hundred twenty-two million, twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 145253 290506 435759 581012 726265 871518 1016771 1162024 1452530 1743036 2033542 2178795 2905060 3050313 3486072 4067084 4357590 5083855 5810120 6100626 8134168 8715180 10167710 12201252 15251565 17430360 20335420 24402504 30503130 40670840 61006260 122012520