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12013200301200 = 24352710913120577
BaseRepresentation
bin1010111011010000101010…
…0010010101110010010000
31120112110011120202212211220
42232310022202111302100
53033311013234114300
641314442114205040
72346632205510450
oct256641242256220
946473146685756
1012013200301200
11391185142853a
1214202a4583780
13691abc4229b7
142d7628ba7d60
1515c756c3ada0
hexaed0a895c90

12013200301200 has 240 divisors, whose sum is σ = 44383241612160. Its totient is φ = 2720682639360.

The previous prime is 12013200301189. The next prime is 12013200301303. The reversal of 12013200301200 is 210300231021.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12013200301200.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5644689 + ... + 7475888.

It is an arithmetic number, because the mean of its divisors is an integer number (184930173384).

Almost surely, 212013200301200 is an apocalyptic number.

12013200301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12013200301200 is an abundant number, since it is smaller than the sum of its proper divisors (32370041310960).

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

12013200301200 is a wasteful number, since it uses less digits than its factorization.

12013200301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13120714 (or 13120703 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12013200301200 its reverse (210300231021), we get a palindrome (12223500532221).

The spelling of 12013200301200 in words is "twelve trillion, thirteen billion, two hundred million, three hundred one thousand, two hundred".