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1312123200000 = 29355273359
BaseRepresentation
bin10011000110000000101…
…000110010001000000000
311122102211010021211012120
4103012000220302020000
5132444212014400000
62442440413524240
7163540431114654
oct23060050621000
94572733254176
101312123200000
11466517380848
1219236b4a3680
139696a936572
14477156b6a64
15241e83ce6a0
hex13180a32200

1312123200000 has 240 divisors, whose sum is σ = 4369209102720. Its totient is φ = 349898240000.

The previous prime is 1312123199987. The next prime is 1312123200001. The reversal of 1312123200000 is 23212131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312123200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4663321 + ... + 4936679.

It is an arithmetic number, because the mean of its divisors is an integer number (18205037928).

Almost surely, 21312123200000 is an apocalyptic number.

1312123200000 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 1312123200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184604551360).

1312123200000 is an abundant number, since it is smaller than the sum of its proper divisors (3057085902720).

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

1312123200000 is an frugal number, since it uses more digits than its factorization.

1312123200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273405 (or 273369 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1312123200000 its reverse (23212131), we get a palindrome (1312146412131).

The spelling of 1312123200000 in words is "one trillion, three hundred twelve billion, one hundred twenty-three million, two hundred thousand".