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1320212880000 = 27325472231627
BaseRepresentation
bin10011001101100010110…
…100011101101010000000
311200012200220110010221100
4103031202310131222000
5133112243444130000
62450255235454400
7164245051215600
oct23154264355200
94605626403840
101320212880000
114699988310a3
12193a48757400
1397659918a71
1447c81c46c00
152451d6e1a00
hex13362d1da80

1320212880000 has 1440 divisors, whose sum is σ = 5766005662560. Its totient is φ = 288465408000.

The previous prime is 1320212879987. The next prime is 1320212880011. The reversal of 1320212880000 is 882120231.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 811439187 + ... + 811440813.

It is an arithmetic number, because the mean of its divisors is an integer number (4004170599).

Almost surely, 21320212880000 is an apocalyptic number.

1320212880000 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 1320212880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883002831280).

1320212880000 is an abundant number, since it is smaller than the sum of its proper divisors (4445792782560).

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

1320212880000 is a wasteful number, since it uses less digits than its factorization.

1320212880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 1320212880000 in words is "one trillion, three hundred twenty billion, two hundred twelve million, eight hundred eighty thousand".