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12087475778730 = 23511199918323519
BaseRepresentation
bin1010111111100101010110…
…1100110011010010101010
31120210112212222012002022010
42233321111230303102222
53041020122244404410
641412524255340350
72355201626610252
oct257712554632252
946715788162263
1012087475778730
1139402a6a59110
1214327732216b6
13698ac8581ac1
142db073562962
1515e652889c20
hexafe55b334aa

12087475778730 has 64 divisors (see below), whose sum is σ = 31663042560000. Its totient is φ = 2928831117120.

The previous prime is 12087475778689. The next prime is 12087475778731. The reversal of 12087475778730 is 3787757478021.

It is a super-2 number, since 2×120874757787302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12087475778731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8502090 + ... + 9821429.

It is an arithmetic number, because the mean of its divisors is an integer number (494735040000).

Almost surely, 212087475778730 is an apocalyptic number.

12087475778730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12087475778730 is an abundant number, since it is smaller than the sum of its proper divisors (19575566781270).

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

12087475778730 is a wasteful number, since it uses less digits than its factorization.

12087475778730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18325539.

The product of its (nonzero) digits is 129077760, while the sum is 66.

The spelling of 12087475778730 in words is "twelve trillion, eighty-seven billion, four hundred seventy-five million, seven hundred seventy-eight thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1999 3998 5997 9995 11994 19990 21989 29985 43978 59970 65967 109945 131934 219890 329835 659670 18323519 36647038 54970557 91617595 109941114 183235190 201558709 274852785 403117418 549705570 604676127 1007793545 1209352254 2015587090 3023380635 6046761270 36628714481 73257428962 109886143443 183143572405 219772286886 366287144810 402915859291 549430717215 805831718582 1098861434430 1208747577873 2014579296455 2417495155746 4029158592910 6043737889365 12087475778730