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12115232640 = 273357372707
BaseRepresentation
bin10110100100001111…
…11100011110000000
31011021022221120211000
423102013330132000
5144302444421030
65322103252000
7606140530650
oct132207743600
934238846730
1012115232640
115157807665
12242144a000
1311b0cac814
1482d056360
154ad933860
hex2d21fc780

12115232640 has 512 divisors, whose sum is σ = 50381798400. Its totient is φ = 2693357568.

The previous prime is 12115232621. The next prime is 12115232641. The reversal of 12115232640 is 4623251121.

12115232640 is a `hidden beast` number, since 1 + 2 + 1 + 15 + 2 + 3 + 2 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12115232641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4474167 + ... + 4476873.

It is an arithmetic number, because the mean of its divisors is an integer number (98401950).

Almost surely, 212115232640 is an apocalyptic number.

12115232640 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 12115232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25190899200).

12115232640 is an abundant number, since it is smaller than the sum of its proper divisors (38266565760).

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

12115232640 is a wasteful number, since it uses less digits than its factorization.

12115232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12115232640 its reverse (4623251121), we get a palindrome (16738483761).

The spelling of 12115232640 in words is "twelve billion, one hundred fifteen million, two hundred thirty-two thousand, six hundred forty".