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12201088320 = 26355414389
BaseRepresentation
bin10110101110011110…
…11101010101000000
31011111022111111200000
423113033131111000
5144441434311240
65334411400000
7611232353031
oct132717352500
934438444600
1012201088320
1151a1218273
122446153000
1311c5a102b5
1483a604a88
154b6242430
hex2d73dd540

12201088320 has 672 divisors, whose sum is σ = 46131845760. Its totient is φ = 3065610240.

The previous prime is 12201088267. The next prime is 12201088327. The reversal of 12201088320 is 2388010221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201088327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137090836 + ... + 137090924.

It is an arithmetic number, because the mean of its divisors is an integer number (68648580).

Almost surely, 212201088320 is an apocalyptic number.

12201088320 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 12201088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23065922880).

12201088320 is an abundant number, since it is smaller than the sum of its proper divisors (33930757440).

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

12201088320 is an equidigital number, since it uses as much as digits as its factorization.

12201088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 12201088320 its reverse (2388010221), we get a palindrome (14589098541).

The spelling of 12201088320 in words is "twelve billion, two hundred one million, eighty-eight thousand, three hundred twenty".