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1299640320000 = 215325411641
BaseRepresentation
bin10010111010011000100…
…110011000000000000000
311121020121011112211000200
4102322120212120000000
5132243130410220000
62433014014245200
7162616204306551
oct22723046300000
94536534484020
101299640320000
114611a10962a0
1218ba66ab6800
139572b732239
1446c8d8bc328
1523c17578500
hex12e98998000

1299640320000 has 960 divisors, whose sum is σ = 5126063290920. Its totient is φ = 314572800000.

The previous prime is 1299640319993. The next prime is 1299640320007. The reversal of 1299640320000 is 230469921.

1299640320000 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 640 + 3 + 2 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1299640319993) and next prime (1299640320007).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×12996403200002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1299640320007) 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 59 ways as a sum of consecutive naturals, for example, 2027519680 + ... + 2027520320.

Almost surely, 21299640320000 is an apocalyptic number.

1299640320000 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 1299640320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2563031645460).

1299640320000 is an abundant number, since it is smaller than the sum of its proper divisors (3826422970920).

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

1299640320000 is an frugal number, since it uses more digits than its factorization.

1299640320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 1299640320000 its reverse (230469921), we get a palindrome (1299870789921).

The spelling of 1299640320000 in words is "one trillion, two hundred ninety-nine billion, six hundred forty million, three hundred twenty thousand".