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12001019985 = 3251400919037
BaseRepresentation
bin10110010110101000…
…10000100001010001
31010222101000222111200
423023110100201101
5144034230114420
65302503301413
7603252662313
oct131324204121
933871028450
1012001019985
1150a9298a39
1223ab14a869
131193430b76
1481bc057b3
154a38c2b90
hex2cb510851

12001019985 has 24 divisors (see below), whose sum is σ = 20804345640. Its totient is φ = 6399750912.

The previous prime is 12001019983. The next prime is 12001019993. The reversal of 12001019985 is 58991010021.

It can be written as a sum of positive squares in 4 ways, for example, as 168584256 + 11832435729 = 12984^2 + 108777^2 .

It is not a de Polignac number, because 12001019985 - 21 = 12001019983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12001019981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620887 + ... + 639923.

It is an arithmetic number, because the mean of its divisors is an integer number (866847735).

Almost surely, 212001019985 is an apocalyptic number.

12001019985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12001019985 is a deficient number, since it is larger than the sum of its proper divisors (8803325655).

12001019985 is a wasteful number, since it uses less digits than its factorization.

12001019985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33057 (or 33054 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 12001019985 in words is "twelve billion, one million, nineteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 14009 19037 42027 57111 70045 95185 126081 171333 210135 285555 630405 856665 266689333 800067999 1333446665 2400203997 4000339995 12001019985