Search a number
-
+
12247136110000 = 245411138180621
BaseRepresentation
bin1011001000111000001000…
…1100101000010110110000
31121100210222222021021101201
42302032002030220112300
53101124113321010000
642014131234340544
72402553310205521
oct262160214502660
947323888237351
1012247136110000
1139a1a88063110
1214596b112a754
136aab91341abc
14304a9bcd8848
151638995ce96a
hexb23823285b0

12247136110000 has 200 divisors, whose sum is σ = 32370960389328. Its totient is φ = 4450224000000.

The previous prime is 12247136109979. The next prime is 12247136110049. The reversal of 12247136110000 is 1163174221.

It is a tau number, because it is divible by the number of its divisors (200).

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 39 ways as a sum of consecutive naturals, for example, 151869690 + ... + 151950310.

Almost surely, 212247136110000 is an apocalyptic number.

12247136110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12247136110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185480194664).

12247136110000 is an abundant number, since it is smaller than the sum of its proper divisors (20123824279328).

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

12247136110000 is a wasteful number, since it uses less digits than its factorization.

12247136110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82041 (or 82020 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 12247136110000 its reverse (1163174221), we get a palindrome (12248299284221).

The spelling of 12247136110000 in words is "twelve trillion, two hundred forty-seven billion, one hundred thirty-six million, one hundred ten thousand".