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1220332120001 = 17127768038263
BaseRepresentation
bin10001110000100001011…
…101100110011111000001
311022122220001011211012222
4101300201131212133001
5124443220010320001
62332340212300425
7154110652604561
oct21604135463701
94278801154188
101220332120001
114305a3738855
12178612911715
138b0cca28347
14430c8984da1
1521b24bac61b
hex11c217667c1

1220332120001 has 16 divisors (see below), whose sum is σ = 1293474801024. Its totient is φ = 1147340899584.

The previous prime is 1220332119971. The next prime is 1220332120087. The reversal of 1220332120001 is 1000212330221.

It is a de Polignac number, because none of the positive numbers 2k-1220332120001 is a prime.

It is a super-2 number, since 2×12203321200012 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1220332120201) 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 15 ways as a sum of consecutive naturals, for example, 147682196 + ... + 147690458.

It is an arithmetic number, because the mean of its divisors is an integer number (80842175064).

Almost surely, 21220332120001 is an apocalyptic number.

It is an amenable number.

1220332120001 is a deficient number, since it is larger than the sum of its proper divisors (73142681023).

1220332120001 is a wasteful number, since it uses less digits than its factorization.

1220332120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16360.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1220332120001 its reverse (1000212330221), we get a palindrome (2220544450222).

The spelling of 1220332120001 in words is "one trillion, two hundred twenty billion, three hundred thirty-two million, one hundred twenty thousand, one".

Divisors: 1 17 1277 6803 8263 21709 115651 140471 8687431 10551851 56213189 147686327 179381467 955624213 71784242353 1220332120001