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1128120000 = 2635471779
BaseRepresentation
bin100001100111101…
…1011111011000000
32220121202102201020
41003033123323000
54302244320000
6303535305440
736645601410
oct10317337300
92817672636
101128120000
11529881287
1227597b280
1314c948037
14a9b7c640
156908cba0
hex433dbec0

1128120000 has 560 divisors, whose sum is σ = 4570536960. Its totient is φ = 239616000.

The previous prime is 1128119987. The next prime is 1128120013. The reversal of 1128120000 is 218211.

It is an interprime number because it is at equal distance from previous prime (1128119987) and next prime (1128120013).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14279961 + ... + 14280039.

Almost surely, 21128120000 is an apocalyptic number.

1128120000 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 1128120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285268480).

1128120000 is an abundant number, since it is smaller than the sum of its proper divisors (3442416960).

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

1128120000 is an equidigital number, since it uses as much as digits as its factorization.

1128120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1128120000 is about 33587.4976739858. The cubic root of 1128120000 is about 1041.0024850427.

Adding to 1128120000 its reverse (218211), we get a palindrome (1128338211).

The spelling of 1128120000 in words is "one billion, one hundred twenty-eight million, one hundred twenty thousand".