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1320002232000 = 26353374333433
BaseRepresentation
bin10011001101010110010…
…000111001111011000000
311200012011020002010012120
4103031112100321323000
5133111331032411000
62450222312524240
7164236612562514
oct23152620717300
94605136063176
101320002232000
1146989a936141
121939aa0b0680
13976250a3c8a
1447c61c92144
1524509e826a0
hex13356439ec0

1320002232000 has 448 divisors, whose sum is σ = 4488093826944. Its totient is φ = 341596569600.

The previous prime is 1320002231971. The next prime is 1320002232007. The reversal of 1320002232000 is 2322000231.

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

It is not an unprimeable number, because it can be changed into a prime (1320002232007) 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 63 ways as a sum of consecutive naturals, for example, 384502284 + ... + 384505716.

It is an arithmetic number, because the mean of its divisors is an integer number (10018066578).

Almost surely, 21320002232000 is an apocalyptic number.

1320002232000 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 1320002232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244046913472).

1320002232000 is an abundant number, since it is smaller than the sum of its proper divisors (3168091594944).

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

1320002232000 is a wasteful number, since it uses less digits than its factorization.

1320002232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 1320002232000 its reverse (2322000231), we get a palindrome (1322324232231).

The spelling of 1320002232000 in words is "one trillion, three hundred twenty billion, two million, two hundred thirty-two thousand".