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1320356201472 = 210337211412161
BaseRepresentation
bin10011001101101011010…
…111001100010000000000
311200020001220010122001000
4103031223113030100000
5133113042141421342
62450321355412000
7164251441351500
oct23155327142000
94606056118030
101320356201472
11469a617216a0
12193a88754000
1397680519b79
1447c96cb3a00
152452b0a244c
hex1336b5cc400

1320356201472 has 1056 divisors, whose sum is σ = 5085561559680. Its totient is φ = 334430208000.

The previous prime is 1320356201443. The next prime is 1320356201473. The reversal of 1320356201472 is 2741026530231.

1320356201472 is a `hidden beast` number, since 1 + 3 + 20 + 3 + 5 + 620 + 1 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1320356201473) 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, 610992072 + ... + 610994232.

Almost surely, 21320356201472 is an apocalyptic number.

1320356201472 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 1320356201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542780779840).

1320356201472 is an abundant number, since it is smaller than the sum of its proper divisors (3765205358208).

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

1320356201472 is a wasteful number, since it uses less digits than its factorization.

1320356201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 1320356201472 in words is "one trillion, three hundred twenty billion, three hundred fifty-six million, two hundred one thousand, four hundred seventy-two".