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1121120000 = 2854721113
BaseRepresentation
bin100001011010010…
…1110111100000000
32220010120210111222
41002310232330000
54244001320000
6303125254212
736532235300
oct10264567400
92803523458
101121120000
11525930060
12273564368
1314b366b20
14a8c79600
1568658a85
hex42d2ef00

1121120000 has 540 divisors, whose sum is σ = 3821695416. Its totient is φ = 322560000.

The previous prime is 1121119997. The next prime is 1121120051. The reversal of 1121120000 is 211211.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1121120000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 86239994 + ... + 86240006.

Almost surely, 21121120000 is an apocalyptic number.

1121120000 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 1121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910847708).

1121120000 is an abundant number, since it is smaller than the sum of its proper divisors (2700575416).

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

1121120000 is an equidigital number, since it uses as much as digits as its factorization.

1121120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1121120000 is about 33483.1300806839. The cubic root of 1121120000 is about 1038.8448713190.

Adding to 1121120000 its reverse (211211), we get a palindrome (1121331211).

It can be divided in two parts, 1121 and 120000, that added together give a palindrome (121121).

The spelling of 1121120000 in words is "one billion, one hundred twenty-one million, one hundred twenty thousand".