Search a number
-
+
12011201231300 = 2252177065412489
BaseRepresentation
bin1010111011001001001101…
…1000011111100111000100
31120112021000021011121110222
42232302103120133213010
53033242420003400200
641313511503203512
72346531522631355
oct256622330374704
946467007147428
1012011201231300
113910a15a66757
12141ba26ba6598
13691861212abb
142d74b94b1d2c
1515c68b4add85
hexaec9361f9c4

12011201231300 has 36 divisors (see below), whose sum is σ = 27597501185940. Its totient is φ = 4521863992320.

The previous prime is 12011201231291. The next prime is 12011201231327. The reversal of 12011201231300 is 313210211021.

It can be written as a sum of positive squares in 6 ways, for example, as 1525210180036 + 10485991051264 = 1234994^2 + 3238208^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3532704545 + ... + 3532707944.

It is an arithmetic number, because the mean of its divisors is an integer number (766597255165).

Almost surely, 212011201231300 is an apocalyptic number.

12011201231300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011201231300 is an abundant number, since it is smaller than the sum of its proper divisors (15586299954640).

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

12011201231300 is a wasteful number, since it uses less digits than its factorization.

12011201231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065412520 (or 7065412513 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12011201231300 its reverse (313210211021), we get a palindrome (12324411442321).

The spelling of 12011201231300 in words is "twelve trillion, eleven billion, two hundred one million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7065412489 14130824978 28261649956 35327062445 70654124890 120112012313 141308249780 176635312225 240224024626 353270624450 480448049252 600560061565 706541248900 1201120123130 2402240246260 3002800307825 6005600615650 12011201231300