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12981341880 = 2335513195407
BaseRepresentation
bin11000001011011111…
…11000111010111000
31020111200200111100000
430011233320322320
5203041210420010
65544043113000
7636455404533
oct140557707270
936450614300
1012981341880
1155616a1321
122623512760
1312bb56b2b0
148b20ada1a
1550e9b87c0
hex305bf8eb8

12981341880 has 384 divisors, whose sum is σ = 49606502400. Its totient is φ = 3026668032.

The previous prime is 12981341827. The next prime is 12981341881. The reversal of 12981341880 is 8814318921.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12981341881) by changing a digit.

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, 2398137 + ... + 2403543.

It is an arithmetic number, because the mean of its divisors is an integer number (129183600).

Almost surely, 212981341880 is an apocalyptic number.

12981341880 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 12981341880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24803251200).

12981341880 is an abundant number, since it is smaller than the sum of its proper divisors (36625160520).

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

12981341880 is a wasteful number, since it uses less digits than its factorization.

12981341880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5449 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 12981341880 in words is "twelve billion, nine hundred eighty-one million, three hundred forty-one thousand, eight hundred eighty".