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1121204500 = 225313181953
BaseRepresentation
bin100001011010100…
…0011100100010100
32220010202002102121
41002311003210110
54244012021000
6303131145324
736533036533
oct10265034424
92803662377
101121204500
11525988599
122735a5244
1314b396420
14a8c9c31a
1568673b1a
hex42d43914

1121204500 has 96 divisors (see below), whose sum is σ = 2654424864. Its totient is φ = 411264000.

The previous prime is 1121204479. The next prime is 1121204501. The reversal of 1121204500 is 54021211.

It can be written as a sum of positive squares in 16 ways, for example, as 1121178256 + 26244 = 33484^2 + 162^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121204501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176024 + ... + 1176976.

It is an arithmetic number, because the mean of its divisors is an integer number (27650259).

Almost surely, 21121204500 is an apocalyptic number.

1121204500 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 1121204500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327212432).

1121204500 is an abundant number, since it is smaller than the sum of its proper divisors (1533220364).

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

1121204500 is a wasteful number, since it uses less digits than its factorization.

1121204500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1121204500 is about 33484.3918863700. The cubic root of 1121204500 is about 1038.8709702755.

Adding to 1121204500 its reverse (54021211), we get a palindrome (1175225711).

The spelling of 1121204500 in words is "one billion, one hundred twenty-one million, two hundred four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 181 250 260 325 362 500 650 724 905 953 1300 1625 1810 1906 2353 3250 3620 3812 4525 4706 4765 6500 9050 9412 9530 11765 12389 18100 19060 22625 23530 23825 24778 45250 47060 47650 49556 58825 61945 90500 95300 117650 119125 123890 172493 235300 238250 247780 294125 309725 344986 476500 588250 619450 689972 862465 1176500 1238900 1548625 1724930 2242409 3097250 3449860 4312325 4484818 6194500 8624650 8969636 11212045 17249300 21561625 22424090 43123250 44848180 56060225 86246500 112120450 224240900 280301125 560602250 1121204500