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12002442303488 = 211721373126031
BaseRepresentation
bin1010111010101000100101…
…0011110101100000000000
31120111102101211200222100012
42232222021103311200000
53033122000212202423
641305502413044052
72346101465156600
oct256521123654000
946442354628305
1012002442303488
11390823086063a
12141a1a1786628
13690a9669a690
142d6cc80d0c00
1515c327551078
hexaea894f5800

12002442303488 has 288 divisors, whose sum is σ = 30476798614080. Its totient is φ = 4683137679360.

The previous prime is 12002442303479. The next prime is 12002442303493. The reversal of 12002442303488 is 88430324420021.

It is a super-2 number, since 2×120024423034882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95171033 + ... + 95297063.

It is an arithmetic number, because the mean of its divisors is an integer number (105822217410).

Almost surely, 212002442303488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002442303488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15238399307040).

12002442303488 is an abundant number, since it is smaller than the sum of its proper divisors (18474356310592).

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

12002442303488 is a wasteful number, since it uses less digits than its factorization.

12002442303488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126153 (or 126126 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 41.

The spelling of 12002442303488 in words is "twelve trillion, two billion, four hundred forty-two million, three hundred three thousand, four hundred eighty-eight".