Search a number
-
+
12011012021000 = 2353108107111103
BaseRepresentation
bin1010111011001000100000…
…0110101101101100001000
31120112020112002010201202002
42232302020012231230020
53033242023034133000
641313441023530132
72346524034443006
oct256621006555410
946466462121662
1012011012021000
113910929183203
12141b993759948
13691830c65945
142d749c2dba76
1515c679a868d5
hexaec881adb08

12011012021000 has 64 divisors (see below), whose sum is σ = 28106281082880. Its totient is φ = 4804317124800.

The previous prime is 12011012020993. The next prime is 12011012021081. The reversal of 12011012021000 is 12021011021.

It is an unprimeable number.

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, 108051449 + ... + 108162551.

It is an arithmetic number, because the mean of its divisors is an integer number (439160641920).

Almost surely, 212011012021000 is an apocalyptic number.

12011012021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011012021000 is an abundant number, since it is smaller than the sum of its proper divisors (16095269061880).

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

12011012021000 is a wasteful number, since it uses less digits than its factorization.

12011012021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219231 (or 219217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12011012021000 its reverse (12021011021), we get a palindrome (12023033032021).

The spelling of 12011012021000 in words is "twelve trillion, eleven billion, twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 108107 111103 216214 222206 432428 444412 540535 555515 864856 888824 1081070 1111030 2162140 2222060 2702675 2777575 4324280 4444120 5405350 5555150 10810700 11110300 13513375 13887875 21621400 22220600 27026750 27775750 54053500 55551500 108107000 111103000 12011012021 24022024042 48044048084 60055060105 96088096168 120110120210 240220240420 300275300525 480440480840 600550601050 1201101202100 1501376502625 2402202404200 3002753005250 6005506010500 12011012021000