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1122123420 = 22325111723753
BaseRepresentation
bin100001011100010…
…0011111010011100
32220012110202221200
41002320203322130
54244230422140
6303202555500
736543614565
oct10270437234
92805422850
101122123420
11526455a30
12273968b90
1314b628772
14a905b16c
15687a6030
hex42e23e9c

1122123420 has 432 divisors, whose sum is σ = 4127524128. Its totient is φ = 244408320.

The previous prime is 1122123407. The next prime is 1122123421. The reversal of 1122123420 is 243212211.

It is a happy number.

1122123420 is a `hidden beast` number, since 1 + 1 + 221 + 23 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1122123393 and 1122123402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122123421) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21172114 + ... + 21172166.

It is an arithmetic number, because the mean of its divisors is an integer number (9554454).

Almost surely, 21122123420 is an apocalyptic number.

1122123420 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 1122123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063762064).

1122123420 is an abundant number, since it is smaller than the sum of its proper divisors (3005400708).

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

1122123420 is a wasteful number, since it uses less digits than its factorization.

1122123420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1122123420 is about 33498.1106929928. The cubic root of 1122123420 is about 1039.1547063910.

Adding to 1122123420 its reverse (243212211), we get a palindrome (1365335631).

The spelling of 1122123420 in words is "one billion, one hundred twenty-two million, one hundred twenty-three thousand, four hundred twenty".