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12952528000 = 275319137311
BaseRepresentation
bin11000001000000011…
…11110010010000000
31020102200110121010021
430010001332102000
5203011321344000
65541133343224
7635655446206
oct140401762200
936380417107
1012952528000
115547400aa5
122615937b14
1312b55c0169
148ac32d076
1550c1c611a
hex30407e480

12952528000 has 256 divisors, whose sum is σ = 34255353600. Its totient is φ = 4856832000.

The previous prime is 12952527967. The next prime is 12952528003. The reversal of 12952528000 is 82525921.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12952528003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41647845 + ... + 41648155.

It is an arithmetic number, because the mean of its divisors is an integer number (133809975).

Almost surely, 212952528000 is an apocalyptic number.

12952528000 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 12952528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17127676800).

12952528000 is an abundant number, since it is smaller than the sum of its proper divisors (21302825600).

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

12952528000 is a wasteful number, since it uses less digits than its factorization.

12952528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 12952528000 in words is "twelve billion, nine hundred fifty-two million, five hundred twenty-eight thousand".