Search a number
-
+
121896066512 = 24111941398807
BaseRepresentation
bin111000110000110010…
…0100101110111010000
3102122122010221202210002
41301201210211313100
53444120343112022
6131555343425132
711543461320053
oct1614144456720
9378563852702
10121896066512
1147772173a40
121b75a8b51a8
13b657c7170c
145c850a8a9a
153286688092
hex1c61925dd0

121896066512 has 80 divisors (see below), whose sum is σ = 271300492800. Its totient is φ = 52472488320.

The previous prime is 121896066451. The next prime is 121896066521. The reversal of 121896066512 is 215660698121.

It is a super-3 number, since 3×1218960665123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 13836413 + ... + 13845219.

It is an arithmetic number, because the mean of its divisors is an integer number (3391256160).

Almost surely, 2121896066512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121896066512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135650246400).

121896066512 is an abundant number, since it is smaller than the sum of its proper divisors (149404426288).

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

121896066512 is a wasteful number, since it uses less digits than its factorization.

121896066512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12984 (or 12978 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 121896066512 in words is "one hundred twenty-one billion, eight hundred ninety-six million, sixty-six thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 4139 8278 8807 16556 17614 33112 35228 45529 66224 70456 78641 91058 96877 140912 157282 167333 182116 193754 314564 334666 364232 387508 629128 669332 728464 775016 865051 1258256 1338664 1550032 1730102 1840663 2677328 3460204 3681326 6920408 7362652 13840816 14725304 29450608 36452173 72904346 145808692 291617384 400973903 583234768 692591287 801947806 1385182574 1603895612 2770365148 3207791224 5540730296 6415582448 7618504157 11081460592 15237008314 30474016628 60948033256 121896066512