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12486693120 = 2835111717389
BaseRepresentation
bin10111010000100001…
…11101000100000000
31012020012220201210120
423220100331010000
5201033043134440
65423013100240
7621301066056
oct135020750400
935205821716
1012486693120
11532845a3a0
122505927680
13123cc3ab15
1486650c1d6
154d135add0
hex2e843d100

12486693120 has 288 divisors, whose sum is σ = 46066527360. Its totient is φ = 2848849920.

The previous prime is 12486693101. The next prime is 12486693133. The reversal of 12486693120 is 2139668421.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 709386 + ... + 726774.

It is an arithmetic number, because the mean of its divisors is an integer number (159953220).

Almost surely, 212486693120 is an apocalyptic number.

12486693120 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 12486693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23033263680).

12486693120 is an abundant number, since it is smaller than the sum of its proper divisors (33579834240).

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

12486693120 is a wasteful number, since it uses less digits than its factorization.

12486693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17441 (or 17427 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 12486693120 in words is "twelve billion, four hundred eighty-six million, six hundred ninety-three thousand, one hundred twenty".