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1122241120 = 25573112132
BaseRepresentation
bin100001011100100…
…0000101001100000
32220012200202101221
41002321000221200
54244243203440
6303205304424
736544615000
oct10271005140
92805622357
101122241120
11526526400
12273a05114
1314b66a200
14a908c000
hex42e40a60

1122241120 has 432 divisors, whose sum is σ = 3680056800. Its totient is φ = 322882560.

The previous prime is 1122241097. The next prime is 1122241121. The reversal of 1122241120 is 211422211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1122241094 and 1122241103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122241121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86326234 + ... + 86326246.

It is an arithmetic number, because the mean of its divisors is an integer number (8518650).

Almost surely, 21122241120 is an apocalyptic number.

1122241120 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 1122241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840028400).

1122241120 is an abundant number, since it is smaller than the sum of its proper divisors (2557815680).

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

1122241120 is a wasteful number, since it uses less digits than its factorization.

1122241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1122241120 is about 33499.8674624244. The cubic root of 1122241120 is about 1039.1910375796.

Adding to 1122241120 its reverse (211422211), we get a palindrome (1333663331).

It can be divided in two parts, 1122 and 241120, that added together give a palindrome (242242).

The spelling of 1122241120 in words is "one billion, one hundred twenty-two million, two hundred forty-one thousand, one hundred twenty".