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12386861111296 = 211722343137911
BaseRepresentation
bin1011010001000000101001…
…1101001101100000000000
31121212011122122111202211201
42310100022131031200000
53110421242421030141
642202240114150544
72415630652134400
oct264201235154000
947764578452751
1012386861111296
113a462691996a1
1214807a6882454
136bb0cac4a969
1430b754bc0800
151673260d0031
hexb440a74d800

12386861111296 has 576 divisors, whose sum is σ = 31021772221440. Its totient is φ = 4918147153920.

The previous prime is 12386861111239. The next prime is 12386861111309. The reversal of 12386861111296 is 69211116868321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13596993081 + ... + 13596993991.

It is an arithmetic number, because the mean of its divisors is an integer number (53857243440).

Almost surely, 212386861111296 is an apocalyptic number.

12386861111296 is a gapful number since it is divisible by the number (16) 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 12386861111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15510886110720).

12386861111296 is an abundant number, since it is smaller than the sum of its proper divisors (18634911110144).

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

12386861111296 is a wasteful number, since it uses less digits than its factorization.

12386861111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1123 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 55.

The spelling of 12386861111296 in words is "twelve trillion, three hundred eighty-six billion, eight hundred sixty-one million, one hundred eleven thousand, two hundred ninety-six".