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1330160881200 = 2435222930715767
BaseRepresentation
bin10011010110110011110…
…001000100111000110000
311201011101012100222010020
4103112303301010320300
5133243132141144300
62455022324003440
7165046424636544
oct23266361047060
94634335328106
101330160881200
1147313315a698
12195964230580
13985838cb0c8
1448547111a24
1524901c2c8a0
hex135b3c44e30

1330160881200 has 240 divisors, whose sum is σ = 4293767681280. Its totient is φ = 351987932160.

The previous prime is 1330160881171. The next prime is 1330160881207. The reversal of 1330160881200 is 21880610331.

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

It is not an unprimeable number, because it can be changed into a prime (1330160881207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84355717 + ... + 84371483.

It is an arithmetic number, because the mean of its divisors is an integer number (17890698672).

Almost surely, 21330160881200 is an apocalyptic number.

1330160881200 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 1330160881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146883840640).

1330160881200 is an abundant number, since it is smaller than the sum of its proper divisors (2963606800080).

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

1330160881200 is a wasteful number, since it uses less digits than its factorization.

1330160881200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16324 (or 16313 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 1330160881200 in words is "one trillion, three hundred thirty billion, one hundred sixty million, eight hundred eighty-one thousand, two hundred".