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1121001120 = 25345671291
BaseRepresentation
bin100001011010001…
…0001111010100000
32220010100202110000
41002310101322200
54243434013440
6303122540000
736531231561
oct10264217240
92803322400
101121001120
11525859808
12273507600
1314b324995
14a8c48168
1568633730
hex42d11ea0

1121001120 has 240 divisors, whose sum is σ = 4018357728. Its totient is φ = 294243840.

The previous prime is 1121001109. The next prime is 1121001143. The reversal of 1121001120 is 211001211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11210011202 = 2513287022082508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 867675 + ... + 868965.

Almost surely, 21121001120 is an apocalyptic number.

1121001120 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 1121001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009178864).

1121001120 is an abundant number, since it is smaller than the sum of its proper divisors (2897356608).

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

1121001120 is a wasteful number, since it uses less digits than its factorization.

1121001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1121001120 is about 33481.3548112976. The cubic root of 1121001120 is about 1038.8081514187.

Adding to 1121001120 its reverse (211001211), we get a palindrome (1332002331).

Subtracting from 1121001120 its reverse (211001211), we obtain a palindrome (909999909).

The spelling of 1121001120 in words is "one billion, one hundred twenty-one million, one thousand, one hundred twenty".