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1112022120 = 23351119101439
BaseRepresentation
bin100001001001000…
…0001110001101000
32212111110120120110
41002102001301220
54234134201440
6302202254320
736362013666
oct10222016150
92774416513
101112022120
11520786750
122704b73a0
131494cca71
14a798bc36
156795d080
hex42481c68

1112022120 has 256 divisors, whose sum is σ = 3877632000. Its totient is φ = 252288000.

The previous prime is 1112022089. The next prime is 1112022127. The reversal of 1112022120 is 212202111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1112022096 and 1112022105.

It is not an unprimeable number, because it can be changed into a prime (1112022127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2532861 + ... + 2533299.

It is an arithmetic number, because the mean of its divisors is an integer number (15147000).

Almost surely, 21112022120 is an apocalyptic number.

1112022120 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 1112022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938816000).

1112022120 is an abundant number, since it is smaller than the sum of its proper divisors (2765609880).

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

1112022120 is a wasteful number, since it uses less digits than its factorization.

1112022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1112022120 is about 33346.9956667763. The cubic root of 1112022120 is about 1036.0271629655.

Adding to 1112022120 its reverse (212202111), we get a palindrome (1324224231).

Subtracting from 1112022120 its reverse (212202111), we obtain a square (899820009 = 299972).

The spelling of 1112022120 in words is "one billion, one hundred twelve million, twenty-two thousand, one hundred twenty".