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12298950882240 = 2635112322931279
BaseRepresentation
bin1011001011111001001010…
…0110010011001111000000
31121112202202000220102112020
42302332102212103033000
53103001222411212430
642054020545001440
72406366316412451
oct262762246231700
947482660812466
1012298950882240
113a11a5715a430
121467751923280
136b2a2b074649
143073b5669128
15164dcd449b10
hexb2f929933c0

12298950882240 has 2016 divisors, whose sum is σ = 48203861529600. Its totient is φ = 2631031603200.

The previous prime is 12298950882221. The next prime is 12298950882259. The reversal of 12298950882240 is 4228805989221.

It is an interprime number because it is at equal distance from previous prime (12298950882221) and next prime (12298950882259).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 155682922521 + ... + 155682922599.

It is an arithmetic number, because the mean of its divisors is an integer number (23910645600).

Almost surely, 212298950882240 is an apocalyptic number.

12298950882240 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 12298950882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24101930764800).

12298950882240 is an abundant number, since it is smaller than the sum of its proper divisors (35904910647360).

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

12298950882240 is a wasteful number, since it uses less digits than its factorization.

12298950882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 12298950882240 in words is "twelve trillion, two hundred ninety-eight billion, nine hundred fifty million, eight hundred eighty-two thousand, two hundred forty".