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1121097888 = 253319312203
BaseRepresentation
bin100001011010010…
…1001100010100000
32220010112200012000
41002310221202200
54244000113023
6303125004000
736532113651
oct10264514240
92803480160
101121097888
11525915489
12273553600
1314b359a41
14a8c71528
1568652243
hex42d298a0

1121097888 has 192 divisors, whose sum is σ = 3554611200. Its totient is φ = 342455040.

The previous prime is 1121097883. The next prime is 1121097889. The reversal of 1121097888 is 8887901211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1121097883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507795 + ... + 509997.

It is an arithmetic number, because the mean of its divisors is an integer number (18513600).

Almost surely, 21121097888 is an apocalyptic number.

1121097888 is a gapful number since it is divisible by the number (18) 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 1121097888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777305600).

1121097888 is an abundant number, since it is smaller than the sum of its proper divisors (2433513312).

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

1121097888 is a wasteful number, since it uses less digits than its factorization.

1121097888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The square root of 1121097888 is about 33482.7998829250. The cubic root of 1121097888 is about 1038.8380415152.

The spelling of 1121097888 in words is "one billion, one hundred twenty-one million, ninety-seven thousand, eight hundred eighty-eight".