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12115233504 = 253611311523
BaseRepresentation
bin10110100100001111…
…11100101011100000
31011021022221122000000
423102013330223200
5144302444433004
65322103300000
7606140533323
oct132207745340
934238848000
1012115233504
115157808280
12242144a600
1311b0cb002a
1482d0567ba
154ad933c39
hex2d21fcae0

12115233504 has 336 divisors, whose sum is σ = 40297388544. Its totient is φ = 3550521600.

The previous prime is 12115233499. The next prime is 12115233523. The reversal of 12115233504 is 40533251121.

12115233504 is a `hidden beast` number, since 1 + 2 + 1 + 152 + 3 + 3 + 504 = 666.

12115233504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 7954087 + ... + 7955609.

It is an arithmetic number, because the mean of its divisors is an integer number (119932704).

Almost surely, 212115233504 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 12115233504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20148694272).

12115233504 is an abundant number, since it is smaller than the sum of its proper divisors (28182155040).

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

12115233504 is a wasteful number, since it uses less digits than its factorization.

12115233504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12115233504 its reverse (40533251121), we get a palindrome (52648484625).

The spelling of 12115233504 in words is "twelve billion, one hundred fifteen million, two hundred thirty-three thousand, five hundred four".