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12311220300000 = 25355338912109
BaseRepresentation
bin1011001100100110110111…
…1010011010100011100000
31121120221102002222102120020
42303021231322122203200
53103201334344100000
642103410241113440
72410312341633636
oct263115572324340
947527362872506
1012311220300000
113a171829a7606
121469bb6928880
136b3c34c89c5b
14307c1ad79356
1516539a687ba0
hexb326de9a8e0

12311220300000 has 288 divisors, whose sum is σ = 40408862104800. Its totient is φ = 3281752320000.

The previous prime is 12311220299863. The next prime is 12311220300073. The reversal of 12311220300000 is 302211321.

12311220300000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123112203000002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016693946 + ... + 1016706054.

It is an arithmetic number, because the mean of its divisors is an integer number (140308548975).

Almost surely, 212311220300000 is an apocalyptic number.

12311220300000 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 12311220300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20204431052400).

12311220300000 is an abundant number, since it is smaller than the sum of its proper divisors (28097641804800).

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

12311220300000 is an equidigital number, since it uses as much as digits as its factorization.

12311220300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536 (or 15508 counting only the distinct ones).

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

Adding to 12311220300000 its reverse (302211321), we get a palindrome (12311522511321).

The spelling of 12311220300000 in words is "twelve trillion, three hundred eleven billion, two hundred twenty million, three hundred thousand".