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1119272112 = 243273173143
BaseRepresentation
bin100001010110110…
…1011110010110000
32220000002220200200
41002231223302300
54243013201422
6303021515200
736510441000
oct10255536260
92800086620
101119272112
11524888782
12272a12b00
1314ab6a9ba
14a8918000
15683e12ac
hex42b6bcb0

1119272112 has 480 divisors, whose sum is σ = 4085452800. Its totient is φ = 284497920.

The previous prime is 1119272111. The next prime is 1119272123. The reversal of 1119272112 is 2112729111.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (504) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (1119272111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26029563 + ... + 26029605.

It is an arithmetic number, because the mean of its divisors is an integer number (8511360).

Almost surely, 21119272112 is an apocalyptic number.

1119272112 is a gapful number since it is divisible by the number (12) 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 1119272112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042726400).

1119272112 is an abundant number, since it is smaller than the sum of its proper divisors (2966180688).

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

1119272112 is a wasteful number, since it uses less digits than its factorization.

1119272112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its digits is 504, while the sum is 27.

The square root of 1119272112 is about 33455.5243868632. The cubic root of 1119272112 is about 1038.2737981547.

1119272112 divided by its product of digits (504) gives a triangular number (2220778 = T2107).

The spelling of 1119272112 in words is "one billion, one hundred nineteen million, two hundred seventy-two thousand, one hundred twelve".