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1122122000 = 2453561061
BaseRepresentation
bin100001011100010…
…0011100100010000
32220012110201000002
41002320203210100
54244230401000
6303202545132
736543610466
oct10270434420
92805421002
101122122000
1152645495a
122739681a8
1314b627c1c
14a905a836
15687a58d5
hex42e23910

1122122000 has 40 divisors (see below), whose sum is σ = 2713295832. Its totient is φ = 448848000.

The previous prime is 1122121997. The next prime is 1122122011. The reversal of 1122122000 is 2212211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12166144 + 1109955856 = 3488^2 + 33316^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278531 + ... + 282530.

Almost surely, 21122122000 is an apocalyptic number.

1122122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122122000 is an abundant number, since it is smaller than the sum of its proper divisors (1591173832).

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

1122122000 is an equidigital number, since it uses as much as digits as its factorization.

1122122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561084 (or 561068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1122122000 is about 33498.0894977609. The cubic root of 1122122000 is about 1039.1542680553.

Adding to 1122122000 its reverse (2212211), we get a palindrome (1124334211).

The spelling of 1122122000 in words is "one billion, one hundred twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 561061 1122122 2244244 2805305 4488488 5610610 8976976 11221220 14026525 22442440 28053050 44884880 56106100 70132625 112212200 140265250 224424400 280530500 561061000 1122122000