12315401280 has 840 divisors, whose sum is σ = 53606635992. Its totient is φ = 2579447808.

The previous prime is 12315401249. The next prime is 12315401311. The reversal of 12315401280 is 8210451321.

12315401280 is a `hidden beast` number, since 1 + 2 + 31 + 540 + 12 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12315401249) and next prime (12315401311).

It can be written as a sum of positive squares in 4 ways, for example, as 354041856 + 11961359424 = 18816^2 + 109368^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 89893372 + ... + 89893508.

Almost surely, 2^12315401280 is an apocalyptic number.

12315401280 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 12315401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26803317996).

12315401280 is an abundant number, since it is smaller than the sum of its proper divisors (41291234712).

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

12315401280 is a wasteful number, since it uses less digits than its factorization.

12315401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

It can be divided in two parts, 12315 and 401280, that added together give a triangular number (413595 = T₉₀₉).

The spelling of 12315401280 in words is "twelve billion, three hundred fifteen million, four hundred one thousand, two hundred eighty".