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12298117703424 = 283729313797709
BaseRepresentation
bin1011001011110110000011…
…1011111110011100000000
31121112200120222010120001120
42302331200323332130000
53102443021113002144
642053402143032240
72406336551460630
oct262754073763400
947480528116046
1012298117703424
113a116699178a3
12146755a89b680
136b2927575927
14307336b446c0
15164d8021be19
hexb2f60efe700

12298117703424 has 1152 divisors, whose sum is σ = 41505928396800. Its totient is φ = 3157021163520.

The previous prime is 12298117703411. The next prime is 12298117703533. The reversal of 12298117703424 is 42430771189221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17345722782 + ... + 17345723490.

Almost surely, 212298117703424 is an apocalyptic number.

12298117703424 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 12298117703424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20752964198400).

12298117703424 is an abundant number, since it is smaller than the sum of its proper divisors (29207810693376).

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

12298117703424 is a wasteful number, since it uses less digits than its factorization.

12298117703424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 12298117703424 in words is "twelve trillion, two hundred ninety-eight billion, one hundred seventeen million, seven hundred three thousand, four hundred twenty-four".