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1200020332032 = 2932172901111
BaseRepresentation
bin10001011101100110110…
…010010001111000000000
311020201110110222002021200
4101131212302101320000
5124130120201111112
62315140504221200
7152461423344054
oct21354662217000
94221413862250
101200020332032
11422a20213925
121746a446a800
13892138862b2
144211d0dbc64
15213368a4cdc
hex11766c91e00

1200020332032 has 180 divisors, whose sum is σ = 3679053765816. Its totient is φ = 376476549120.

The previous prime is 1200020332031. The next prime is 1200020332037. The reversal of 1200020332032 is 2302330200021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1200020331996 and 1200020332014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200020332031) 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 17 ways as a sum of consecutive naturals, for example, 881157 + ... + 1782267.

Almost surely, 21200020332032 is an apocalyptic number.

1200020332032 is a gapful number since it is divisible by the number (12) 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 1200020332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839526882908).

1200020332032 is an abundant number, since it is smaller than the sum of its proper divisors (2479033433784).

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

1200020332032 is an equidigital number, since it uses as much as digits as its factorization.

1200020332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901169 (or 901133 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1200020332032 its reverse (2302330200021), we get a palindrome (3502350532053).

The spelling of 1200020332032 in words is "one trillion, two hundred billion, twenty million, three hundred thirty-two thousand, thirty-two".