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11122104000 = 263537239277
BaseRepresentation
bin10100101101110110…
…11101011011000000
31001201010012102102210
422112323131123000
5140234224312000
65035345142120
7542421216120
oct122673353300
931633172383
1011122104000
114798157397
1221a492a940
13108330a137
147771b6c80
1545165d350
hex296edd6c0

11122104000 has 448 divisors, whose sum is σ = 42299412480. Its totient is φ = 2522419200.

The previous prime is 11122103981. The next prime is 11122104011. The reversal of 11122104000 is 40122111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40151862 + ... + 40152138.

Almost surely, 211122104000 is an apocalyptic number.

11122104000 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 11122104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21149706240).

11122104000 is an abundant number, since it is smaller than the sum of its proper divisors (31177308480).

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

11122104000 is a wasteful number, since it uses less digits than its factorization.

11122104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 533 counting only the distinct ones).

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

Adding to 11122104000 its reverse (40122111), we get a palindrome (11162226111).

The spelling of 11122104000 in words is "eleven billion, one hundred twenty-two million, one hundred four thousand".