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12132549360 = 243453160397
BaseRepresentation
bin10110100110010100…
…00000001011110000
31011022112112100220000
423103022000023300
5144321413034420
65323522350000
7606440653011
oct132312001360
934275470800
1012132549360
1151665649a8
1224271bb300
1311b47637b9
14831483008
154b0204690
hex2d32802f0

12132549360 has 200 divisors, whose sum is σ = 43498156416. Its totient is φ = 3130928640.

The previous prime is 12132549353. The next prime is 12132549371. The reversal of 12132549360 is 6394523121.

12132549360 is a `hidden beast` number, since 1 + 21 + 32 + 549 + 3 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 170682 + ... + 231078.

Almost surely, 212132549360 is an apocalyptic number.

12132549360 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 12132549360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21749078208).

12132549360 is an abundant number, since it is smaller than the sum of its proper divisors (31365607056).

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

12132549360 is a wasteful number, since it uses less digits than its factorization.

12132549360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60453 (or 60438 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12132549360 in words is "twelve billion, one hundred thirty-two million, five hundred forty-nine thousand, three hundred sixty".