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12090587221050 = 23521339715617887
BaseRepresentation
bin1010111111110000111100…
…1010000000110000111010
31120210211220210220201202120
42233330033022000300322
53041043010312033200
641414201124342110
72355342010462542
oct257741712006072
946724823821676
1012090587221050
113941653315848
1214332a1244936
136991a3085030
142db28a898322
1515e785ae39a0
hexaff0f280c3a

12090587221050 has 96 divisors (see below), whose sum is σ = 32372508360192. Its totient is φ = 2968647770880.

The previous prime is 12090587221039. The next prime is 12090587221061. The reversal of 12090587221050 is 5012278509021.

12090587221050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12090587221039) and next prime (12090587221061).

It is a junction number, because it is equal to n+sod(n) for n = 12090587220993 and 12090587221011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7034794 + ... + 8583093.

It is an arithmetic number, because the mean of its divisors is an integer number (337213628752).

Almost surely, 212090587221050 is an apocalyptic number.

12090587221050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12090587221050 is an abundant number, since it is smaller than the sum of its proper divisors (20281921139142).

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

12090587221050 is a wasteful number, since it uses less digits than its factorization.

12090587221050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15618312 (or 15618307 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 12090587221050 in words is "twelve trillion, ninety billion, five hundred eighty-seven million, two hundred twenty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 397 650 794 975 1191 1950 1985 2382 3970 5161 5955 9925 10322 11910 15483 19850 25805 29775 30966 51610 59550 77415 129025 154830 258050 387075 774150 15617887 31235774 46853661 78089435 93707322 156178870 203032531 234268305 390447175 406065062 468536610 609097593 780894350 1015162655 1171341525 1218195186 2030325310 2342683050 3045487965 5075813275 6090975930 6200301139 10151626550 12400602278 15227439825 18600903417 30454879650 31001505695 37201806834 62003011390 80603914807 93004517085 155007528475 161207829614 186009034170 241811744421 310015056950 403019574035 465022585425 483623488842 806039148070 930045170850 1209058722105 2015097870175 2418117444210 4030195740350 6045293610525 12090587221050