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13121110111200 = 25352713229375973
BaseRepresentation
bin1011111011101111111100…
…0110110111001111100000
31201110100212201112122001120
42332323333012313033200
53204434013142024300
643523431010332240
72522653224511530
oct276737706671740
951410781478046
1013121110111200
1141a96a4655893
12157ab6128a080
13742413b53800
143350ca97d4c0
1517b49bd1e3a0
hexbeeff1b73e0

13121110111200 has 3456 divisors, whose sum is σ = 57888344908800. Its totient is φ = 2521603768320.

The previous prime is 13121110111189. The next prime is 13121110111201. The reversal of 13121110111200 is 211101112131.

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 13121110111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121110111201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 179741234364 + ... + 179741234436.

It is an arithmetic number, because the mean of its divisors is an integer number (16750099800).

Almost surely, 213121110111200 is an apocalyptic number.

13121110111200 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 13121110111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28944172454400).

13121110111200 is an abundant number, since it is smaller than the sum of its proper divisors (44767234797600).

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

13121110111200 is a wasteful number, since it uses less digits than its factorization.

13121110111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 13121110111200 its reverse (211101112131), we get a palindrome (13332211223331).

The spelling of 13121110111200 in words is "thirteen trillion, one hundred twenty-one billion, one hundred ten million, one hundred eleven thousand, two hundred".