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1110012120000 = 2633547296183
BaseRepresentation
bin10000001001110001111…
…000001100101111000000
310221010010122122011101000
4100021301320030233000
5121141301100320000
62205533232012000
7143124064225530
oct20116170145700
93833118564330
101110012120000
113988319a3a33
1215b164991000
138089b14a234
143ba210a34c0
151dd19955000
hex10271e0cbc0

1110012120000 has 2240 divisors, whose sum is σ = 4959032601600. Its totient is φ = 238049280000.

The previous prime is 1110012119999. The next prime is 1110012120001. The reversal of 1110012120000 is 212100111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1110012119999) and next prime (1110012120001).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110012120001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13373639959 + ... + 13373640041.

It is an arithmetic number, because the mean of its divisors is an integer number (2213853840).

Almost surely, 21110012120000 is an apocalyptic number.

1110012120000 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 1110012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479516300800).

1110012120000 is an abundant number, since it is smaller than the sum of its proper divisors (3849020481600).

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

1110012120000 is an equidigital number, since it uses as much as digits as its factorization.

1110012120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1110012120000 its reverse (212100111), we get a palindrome (1110224220111).

The spelling of 1110012120000 in words is "one trillion, one hundred ten billion, twelve million, one hundred twenty thousand".