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1110122000000 = 27561342697
BaseRepresentation
bin10000001001111000011…
…011010110111010000000
310221010102022101122101122
4100021320123112322000
5121142012213000000
62205552155051412
7143126600210426
oct20117033267200
93833368348348
101110122000000
11398888a23452
1215b195740b68
13808b7b3caa0
143ba31907116
151dd2440c085
hex102786d6e80

1110122000000 has 224 divisors, whose sum is σ = 2977146657660. Its totient is φ = 409881600000.

The previous prime is 1110121999979. The next prime is 1110122000003. The reversal of 1110122000000 is 2210111.

It can be written as a sum of positive squares in 14 ways, for example, as 1108438374976 + 1683625024 = 1052824^2 + 41032^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1110122000003) 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 27 ways as a sum of consecutive naturals, for example, 25978652 + ... + 26021348.

Almost surely, 21110122000000 is an apocalyptic number.

1110122000000 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 1110122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488573328830).

1110122000000 is an abundant number, since it is smaller than the sum of its proper divisors (1867024657660).

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

1110122000000 is an frugal number, since it uses more digits than its factorization.

1110122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42754 (or 42717 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1110122000000 its reverse (2210111), we get a palindrome (1110124210111).

The spelling of 1110122000000 in words is "one trillion, one hundred ten billion, one hundred twenty-two million", and thus it is an aban number.