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12150111312864 = 2532729643323207
BaseRepresentation
bin1011000011001110101100…
…0100011001101111100000
31121000112120010222220012200
42300303223010121233200
53043031411444002424
641501403432253200
72362550041064040
oct260635304315740
947015503886180
1012150111312864
1139649190a0a58
121442933841200
136a199b043b35
143000d6067720
151610bb68b8c9
hexb0ceb119be0

12150111312864 has 288 divisors, whose sum is σ = 40913168325120. Its totient is φ = 3346531808256.

The previous prime is 12150111312853. The next prime is 12150111312869. The reversal of 12150111312864 is 46821311105121.

12150111312864 is a `hidden beast` number, since 1 + 2 + 150 + 111 + 312 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12150111312869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37430749 + ... + 37753955.

It is an arithmetic number, because the mean of its divisors is an integer number (142059612240).

Almost surely, 212150111312864 is an apocalyptic number.

12150111312864 is a gapful number since it is divisible by the number (14) 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 12150111312864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20456584162560).

12150111312864 is an abundant number, since it is smaller than the sum of its proper divisors (28763057012256).

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

12150111312864 is a wasteful number, since it uses less digits than its factorization.

12150111312864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323902 (or 323891 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 12150111312864 its reverse (46821311105121), we get a palindrome (58971422417985).

The spelling of 12150111312864 in words is "twelve trillion, one hundred fifty billion, one hundred eleven million, three hundred twelve thousand, eight hundred sixty-four".