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1312000213200 = 2435219412715179

1312000213200 has 480 divisors, whose sum is σ = 4549475481600. Its totient is φ = 322113024000.

The previous prime is 1312000213189. The next prime is 1312000213201. The reversal of 1312000213200 is 23120002131.

Adding to 1312000213200 its reverse (23120002131), we get a palindrome (1335120215331).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1312000213200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312000213201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253328211 + ... + 253333389.

It is an arithmetic number, because the mean of its divisors is an integer number (9478073920).

Almost surely, 21312000213200 is an apocalyptic number.

1312000213200 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 1312000213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274737740800).

1312000213200 is an abundant number, since it is smaller than the sum of its proper divisors (3237475268400).

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

1312000213200 is a wasteful number, since it uses less digits than its factorization.

1312000213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531 (or 5520 counting only the distinct ones).

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

The spelling of 1312000213200 in words is "one trillion, three hundred twelve billion, two hundred thirteen thousand, two hundred".