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12025810944 = 212327291607
BaseRepresentation
bin10110011001100101…
…10101000000000000
31011001002200111022100
423030302311000000
5144112101422234
65305150510400
7604003464210
oct131462650000
934032614270
1012025810944
115111290834
1223b7505400
131198600b84
1482121a240
154a5b6d399
hex2cccb5000

12025810944 has 312 divisors, whose sum is σ = 41093919360. Its totient is φ = 3315400704.

The previous prime is 12025810943. The next prime is 12025810967. The reversal of 12025810944 is 44901852021.

It is a super-2 number, since 2×120258109442 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12025810899 and 12025810908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12025810943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7482589 + ... + 7484195.

It is an arithmetic number, because the mean of its divisors is an integer number (131711280).

Almost surely, 212025810944 is an apocalyptic number.

12025810944 is a gapful number since it is divisible by the number (14) 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 12025810944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20546959680).

12025810944 is an abundant number, since it is smaller than the sum of its proper divisors (29068108416).

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

12025810944 is a wasteful number, since it uses less digits than its factorization.

12025810944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12025810944 in words is "twelve billion, twenty-five million, eight hundred ten thousand, nine hundred forty-four".