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12259043992000 = 2653133110693557
BaseRepresentation
bin1011001001100100011111…
…1101100110000111000000
31121101221201212001100121101
42302121013331212013000
53101323010230221000
642023421013504144
72403454352425621
oct262310775460700
947357655040541
1012259043992000
1139a7038817103
12145ba75042054
136ac03b392620
143054ab5b7a48
15163d44c05e6a
hexb2647f661c0

12259043992000 has 448 divisors, whose sum is σ = 33790611778560. Its totient is φ = 4375074816000.

The previous prime is 12259043991979. The next prime is 12259043992003. The reversal of 12259043992000 is 29934095221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12259043992003) 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, 3446454222 + ... + 3446457778.

It is an arithmetic number, because the mean of its divisors is an integer number (75425472720).

Almost surely, 212259043992000 is an apocalyptic number.

12259043992000 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 12259043992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895305889280).

12259043992000 is an abundant number, since it is smaller than the sum of its proper divisors (21531567786560).

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

12259043992000 is a wasteful number, since it uses less digits than its factorization.

12259043992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4697 (or 4677 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 12259043992000 in words is "twelve trillion, two hundred fifty-nine billion, forty-three million, nine hundred ninety-two thousand".