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1105125120000 = 2113554111719
BaseRepresentation
bin10000000101001110100…
…101110001100000000000
310220122112001212211200000
4100011032211301200000
5121101244012320000
62203404254400000
7142562013346236
oct20051645614000
93818461784600
101105125120000
11396754357560
1215a220200000
138029c834365
143b6ba018956
151db308c0000
hex1014e971800

1105125120000 has 2880 divisors, whose sum is σ = 5029097673600. Its totient is φ = 238878720000.

The previous prime is 1105125119993. The next prime is 1105125120007. The reversal of 1105125120000 is 215215011.

It is an interprime number because it is at equal distance from previous prime (1105125119993) and next prime (1105125120007).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105125120007) 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 239 ways as a sum of consecutive naturals, for example, 58164479991 + ... + 58164480009.

It is an arithmetic number, because the mean of its divisors is an integer number (1746214470).

Almost surely, 21105125120000 is an apocalyptic number.

1105125120000 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 1105125120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514548836800).

1105125120000 is an abundant number, since it is smaller than the sum of its proper divisors (3923972553600).

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

1105125120000 is an equidigital number, since it uses as much as digits as its factorization.

1105125120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The spelling of 1105125120000 in words is "one trillion, one hundred five billion, one hundred twenty-five million, one hundred twenty thousand".