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12701230080 = 2103571110739
BaseRepresentation
bin10111101010000110…
…10110010000000000
31012210011121100011220
423311003112100000
5202003003330310
65500155235040
7626514450210
oct136503262000
935704540156
1012701230080
115428571170
122565748a80
131275514a76
14886bd6240
154e50d7670
hex2f50d6400

12701230080 has 352 divisors, whose sum is σ = 50652933120. Its totient is φ = 2638970880.

The previous prime is 12701230037. The next prime is 12701230081. The reversal of 12701230080 is 8003210721.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×127012300802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12701230080.

It is not an unprimeable number, because it can be changed into a prime (12701230081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1177351 + ... + 1188089.

Almost surely, 212701230080 is an apocalyptic number.

12701230080 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 12701230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25326466560).

12701230080 is an abundant number, since it is smaller than the sum of its proper divisors (37951703040).

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

12701230080 is a wasteful number, since it uses less digits than its factorization.

12701230080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10785 (or 10767 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 12701230080 in words is "twelve billion, seven hundred one million, two hundred thirty thousand, eighty".