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12209208480 = 2532573191301
BaseRepresentation
bin10110101111011100…
…11011110010100000
31011111212210001102200
423113232123302200
5200001024132410
65335301413200
7611361363000
oct132756336240
934455701380
1012209208480
1151a5864047
122448a0a200
1311c75c4321
1483b71a000
154b6ce83c0
hex2d7b9bca0

12209208480 has 576 divisors, whose sum is σ = 51184224000. Its totient is φ = 2641766400.

The previous prime is 12209208469. The next prime is 12209208491. The reversal of 12209208480 is 8480290221.

It is an interprime number because it is at equal distance from previous prime (12209208469) and next prime (12209208491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9383830 + ... + 9385130.

It is an arithmetic number, because the mean of its divisors is an integer number (88861500).

Almost surely, 212209208480 is an apocalyptic number.

12209208480 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 12209208480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592112000).

12209208480 is an abundant number, since it is smaller than the sum of its proper divisors (38975015520).

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

12209208480 is a wasteful number, since it uses less digits than its factorization.

12209208480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12209208480 in words is "twelve billion, two hundred nine million, two hundred eight thousand, four hundred eighty".