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12025515040 = 2557112331372
BaseRepresentation
bin10110011001100011…
…01100110000100000
31011001002010110101221
423030301230300200
5144112012440130
65305140304424
7604001122420
oct131461546040
934032113357
1012025515040
1151110a9490
1223b73a2114
131198529296
14821180480
154a5b1087a
hex2ccc6cc20

12025515040 has 576 divisors, whose sum is σ = 39211941888. Its totient is φ = 3375820800.

The previous prime is 12025515023. The next prime is 12025515043. The reversal of 12025515040 is 4051552021.

It is a super-2 number, since 2×120255150402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12025514996 and 12025515014.

It is not an unprimeable number, because it can be changed into a prime (12025515043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325013902 + ... + 325013938.

It is an arithmetic number, because the mean of its divisors is an integer number (68076288).

Almost surely, 212025515040 is an apocalyptic number.

12025515040 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 12025515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605970944).

12025515040 is an abundant number, since it is smaller than the sum of its proper divisors (27186426848).

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

12025515040 is a wasteful number, since it uses less digits than its factorization.

12025515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 12025515040 in words is "twelve billion, twenty-five million, five hundred fifteen thousand, forty".