Search a number
-
+
1299399856128 = 212321119191883
BaseRepresentation
bin10010111010001010010…
…001000101000000000000
311121012222102001222121100
4102322022101011000000
5132242132330344003
62432534104254400
7162610224352653
oct22721221050000
94535872058540
101299399856128
11461088386220
1218b9ba471400
13956c097b21a
1446c699a589a
1523c013c9ba3
hex12e8a445000

1299399856128 has 624 divisors, whose sum is σ = 4337555189760. Its totient is φ = 370660147200.

The previous prime is 1299399856093. The next prime is 1299399856187. The reversal of 1299399856128 is 8216589939921.

1299399856128 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 39 + 9 + 8 + 561 + 28 = 666.

It is a super-2 number, since 2×12993998561282 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1471573575 + ... + 1471574457.

It is an arithmetic number, because the mean of its divisors is an integer number (6951210240).

Almost surely, 21299399856128 is an apocalyptic number.

1299399856128 is a gapful number since it is divisible by the number (18) 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 1299399856128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168777594880).

1299399856128 is an abundant number, since it is smaller than the sum of its proper divisors (3038155333632).

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

1299399856128 is a wasteful number, since it uses less digits than its factorization.

1299399856128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1109 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 72.

The spelling of 1299399856128 in words is "one trillion, two hundred ninety-nine billion, three hundred ninety-nine million, eight hundred fifty-six thousand, one hundred twenty-eight".