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11123300012220 = 223251137983154459
BaseRepresentation
bin1010000111011101100001…
…0110001001000010111100
31110101101011220101021112200
42201313120112021002330
52424221004300342340
635353550134431500
72225426513041524
oct241673026110274
943341156337480
1011123300012220
1135a9401967060
1212b792a802590
13628bcc1c6176
142a6528c9c684
15144521216330
hexa1dd85890bc

11123300012220 has 288 divisors, whose sum is σ = 37841523632640. Its totient is φ = 2620991623680.

The previous prime is 11123300012119. The next prime is 11123300012221. The reversal of 11123300012220 is 2221000332111.

11123300012220 is a `hidden beast` number, since 1 + 112 + 330 + 0 + 0 + 1 + 2 + 220 = 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 = 11123300012193 and 11123300012202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123300012221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71937351 + ... + 72091809.

It is an arithmetic number, because the mean of its divisors is an integer number (131394179280).

Almost surely, 211123300012220 is an apocalyptic number.

11123300012220 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 11123300012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18920761816320).

11123300012220 is an abundant number, since it is smaller than the sum of its proper divisors (26718223620420).

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

11123300012220 is a wasteful number, since it uses less digits than its factorization.

11123300012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155505 (or 155500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11123300012220 its reverse (2221000332111), we get a palindrome (13344300344331).

The spelling of 11123300012220 in words is "eleven trillion, one hundred twenty-three billion, three hundred million, twelve thousand, two hundred twenty".