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122669382480 = 24353131632979
BaseRepresentation
bin111001000111110101…
…0100011101101010000
3102201122001002021212020
41302033222203231100
54002211330214410
6132204210331440
711601601355421
oct1621752435520
9381561067766
10122669382480
1148029739747
121b935889b80
13b74c240a28
145d19a89648
1532ce4dda70
hex1c8faa3b50

122669382480 has 80 divisors (see below), whose sum is σ = 381490255680. Its totient is φ = 32607304704.

The previous prime is 122669382457. The next prime is 122669382487. The reversal of 122669382480 is 84283966221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1226693824803 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122669382487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 741370 + ... + 891609.

It is an arithmetic number, because the mean of its divisors is an integer number (4768628196).

Almost surely, 2122669382480 is an apocalyptic number.

122669382480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122669382480 is an abundant number, since it is smaller than the sum of its proper divisors (258820873200).

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

122669382480 is a wasteful number, since it uses less digits than its factorization.

122669382480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633308 (or 1633302 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 122669382480 in words is "one hundred twenty-two billion, six hundred sixty-nine million, three hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 313 626 939 1252 1565 1878 2504 3130 3756 4695 5008 6260 7512 9390 12520 15024 18780 25040 37560 75120 1632979 3265958 4898937 6531916 8164895 9797874 13063832 16329790 19595748 24494685 26127664 32659580 39191496 48989370 65319160 78382992 97978740 130638320 195957480 391914960 511122427 1022244854 1533367281 2044489708 2555612135 3066734562 4088979416 5111224270 6133469124 7666836405 8177958832 10222448540 12266938248 15333672810 20444897080 24533876496 30667345620 40889794160 61334691240 122669382480