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12113201100000 = 2535571121319193
BaseRepresentation
bin1011000001000101001100…
…0011000111010011100000
31120220000021210220210211210
42300101103003013103200
53041430313440200000
641432421110310120
72360102262334020
oct260212303072340
946800253823753
1012113201100000
1139501a8259800
121437752658340
1369b368151bb0
142dc3d3d95a80
1516015b082350
hexb04530c74e0

12113201100000 has 3456 divisors, whose sum is σ = 56889768821760. Its totient is φ = 2189721600000.

The previous prime is 12113201099963. The next prime is 12113201100001. The reversal of 12113201100000 is 110231121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113201100001) 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 575 ways as a sum of consecutive naturals, for example, 62762699904 + ... + 62762700096.

It is an arithmetic number, because the mean of its divisors is an integer number (16461159960).

Almost surely, 212113201100000 is an apocalyptic number.

12113201100000 is a gapful number since it is divisible by the number (10) 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 12113201100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28444884410880).

12113201100000 is an abundant number, since it is smaller than the sum of its proper divisors (44776567721760).

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

12113201100000 is a wasteful number, since it uses less digits than its factorization.

12113201100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12113201100000 its reverse (110231121), we get a palindrome (12113311331121).

The spelling of 12113201100000 in words is "twelve trillion, one hundred thirteen billion, two hundred one million, one hundred thousand".