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122581980 = 22325681011
BaseRepresentation
bin1110100111001…
…11001111011100
322112122210212100
413103213033130
5222340110410
620055205100
73015633603
oct723471734
9275583770
10122581980
1163215724
1235076790
131c51c221
14123cca3a
15ab658c0
hex74e73dc

122581980 has 36 divisors (see below), whose sum is σ = 371832552. Its totient is φ = 32688480.

The previous prime is 122581937. The next prime is 122582011. The reversal of 122581980 is 89185221.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 340326 + ... + 340685.

It is an arithmetic number, because the mean of its divisors is an integer number (10328682).

Almost surely, 2122581980 is an apocalyptic number.

122581980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122581980 is an abundant number, since it is smaller than the sum of its proper divisors (249250572).

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

122581980 is a wasteful number, since it uses less digits than its factorization.

122581980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681026 (or 681021 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 122581980 is about 11071.6746700759. The cubic root of 122581980 is about 496.7549583038.

The spelling of 122581980 in words is "one hundred twenty-two million, five hundred eighty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 681011 1362022 2043033 2724044 3405055 4086066 6129099 6810110 8172132 10215165 12258198 13620220 20430330 24516396 30645495 40860660 61290990 122581980