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111012000000 = 2835611292
BaseRepresentation
bin110011101100011010…
…1001011000100000000
3101121112121122220101120
41213120311023010000
53304323033000000
6122555340232240
711006660300526
oct1473065130400
9347477586346
10111012000000
114309741a750
121962183b680
13a612079085
145531776316
152d4ad996a0
hex19d8d4b100

111012000000 has 756 divisors, whose sum is σ = 417258096528. Its totient is φ = 25984000000.

The previous prime is 111011999993. The next prime is 111012000007. The reversal of 111012000000 is 210111.

It is an interprime number because it is at equal distance from previous prime (111011999993) and next prime (111012000007).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is not an unprimeable number, because it can be changed into a prime (111012000007) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3827999986 + ... + 3828000014.

Almost surely, 2111012000000 is an apocalyptic number.

111012000000 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 111012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208629048264).

111012000000 is an abundant number, since it is smaller than the sum of its proper divisors (306246096528).

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

111012000000 is an frugal number, since it uses more digits than its factorization.

111012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 111012000000 its reverse (210111), we get a palindrome (111012210111).

The spelling of 111012000000 in words is "one hundred eleven billion, twelve million", and thus it is an aban number.