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12721305520 = 245721123101127
BaseRepresentation
bin10111101100011111…
…11011011110110000
31012211120101021111201
423312033323132300
5202023123234040
65502153420544
7630150212200
oct136617733660
935746337451
1012721305520
115438933140
12257040a754
131279723621
14889740400
154e6c50a9a
hex2f63fb7b0

12721305520 has 480 divisors, whose sum is σ = 39864877056. Its totient is φ = 3725568000.

The previous prime is 12721305469. The next prime is 12721305557. The reversal of 12721305520 is 2550312721.

It is a super-2 number, since 2×127213055202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100167697 + ... + 100167823.

Almost surely, 212721305520 is an apocalyptic number.

12721305520 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 12721305520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19932438528).

12721305520 is an abundant number, since it is smaller than the sum of its proper divisors (27143571536).

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

12721305520 is a wasteful number, since it uses less digits than its factorization.

12721305520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The spelling of 12721305520 in words is "twelve billion, seven hundred twenty-one million, three hundred five thousand, five hundred twenty".