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122669498970 = 23259723475987
BaseRepresentation
bin111001000111110101…
…1000000001001011010
3102201122001022012122200
41302033223000021122
54002211342431340
6132204213031030
711601602352144
oct1621753001132
9381561265580
10122669498970
1148029809217
121b935925476
13b74c281a65
145d19ab9c94
1532ce513330
hex1c8fac025a

122669498970 has 96 divisors (see below), whose sum is σ = 322419883968. Its totient is φ = 32355431424.

The previous prime is 122669498969. The next prime is 122669498983. The reversal of 122669498970 is 79894966221.

122669498970 is a `hidden beast` number, since 12 + 2 + 6 + 69 + 498 + 9 + 70 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122669498898 and 122669498907.

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 47 ways as a sum of consecutive naturals, for example, 20486317 + ... + 20492303.

It is an arithmetic number, because the mean of its divisors is an integer number (3358540458).

Almost surely, 2122669498970 is an apocalyptic number.

122669498970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122669498970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161209941984).

122669498970 is an abundant number, since it is smaller than the sum of its proper divisors (199750384998).

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

122669498970 is a wasteful number, since it uses less digits than its factorization.

122669498970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8444 (or 8441 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 122669498970 in words is "one hundred twenty-two billion, six hundred sixty-nine million, four hundred ninety-eight thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2347 2910 4365 4694 5987 7041 8730 11735 11974 14082 17961 21123 23470 29935 35205 35922 42246 53883 59870 70410 89805 105615 107766 179610 211230 227659 269415 455318 538830 580739 682977 1138295 1161478 1365954 1742217 2048931 2276590 2903695 3414885 3484434 4097862 5226651 5807390 6829770 8711085 10244655 10453302 14051489 17422170 20489310 26133255 28102978 42154467 52266510 70257445 84308934 126463401 140514890 210772335 252926802 421544670 632317005 1264634010 1362994433 2725988866 4088983299 6814972165 8177966598 12266949897 13629944330 20444916495 24533899794 40889832990 61334749485 122669498970