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1121139072 = 27322937907
BaseRepresentation
bin100001011010011…
…0011100110000000
32220010121202200100
41002310303212000
54244002422242
6303125522400
736532345014
oct10264634600
92803552610
101121139072
11525943419
12273573400
1314b372701
14a8c82544
156865e54c
hex42d33980

1121139072 has 192 divisors, whose sum is σ = 3431422800. Its totient is φ = 350687232.

The previous prime is 1121139053. The next prime is 1121139077. The reversal of 1121139072 is 2709311211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121139077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1235643 + ... + 1236549.

Almost surely, 21121139072 is an apocalyptic number.

1121139072 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 1121139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715711400).

1121139072 is an abundant number, since it is smaller than the sum of its proper divisors (2310283728).

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

1121139072 is a wasteful number, since it uses less digits than its factorization.

1121139072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 1121139072 is about 33483.4148796087. The cubic root of 1121139072 is about 1038.8507620762.

The spelling of 1121139072 in words is "one billion, one hundred twenty-one million, one hundred thirty-nine thousand, seventy-two".