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11200221121122 = 2331129650192797
BaseRepresentation
bin1010001011111100000100…
…1100111000101001100010
31110122201201200000110222000
42202333001030320221202
52432001023101333442
635453151025024430
72234121630503325
oct242770114705142
943581650013860
1011200221121122
113628a94919740
12130a817485116
1363323a4b4017
142aa144b767bc
1514652425ad4c
hexa2fc1338a62

11200221121122 has 64 divisors (see below), whose sum is σ = 28088328873600. Its totient is φ = 3276971691840.

The previous prime is 11200221121121. The next prime is 11200221121153. The reversal of 11200221121122 is 22112112200211.

11200221121122 is a `hidden beast` number, since 1 + 1 + 200 + 221 + 121 + 122 = 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 = 11200221121095 and 11200221121104.

It is not an unprimeable number, because it can be changed into a prime (11200221121121) 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, 325079173 + ... + 325113624.

It is an arithmetic number, because the mean of its divisors is an integer number (438880138650).

Almost surely, 211200221121122 is an apocalyptic number.

11200221121122 is an abundant number, since it is smaller than the sum of its proper divisors (16888107752478).

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

11200221121122 is a wasteful number, since it uses less digits than its factorization.

11200221121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650192848 (or 650192842 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11200221121122 its reverse (22112112200211), we get a palindrome (33312333321333).

The spelling of 11200221121122 in words is "eleven trillion, two hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 522 594 638 783 957 1566 1914 2871 5742 8613 17226 650192797 1300385594 1950578391 3901156782 5851735173 7152120767 11703470346 14304241534 17555205519 18855591113 21456362301 35110411038 37711182226 42912724602 56566773339 64369086903 113133546678 128738173806 169700320017 193107260709 207411502243 339400640034 386214521418 414823004486 509100960051 622234506729 1018201920102 1244469013458 1866703520187 3733407040374 5600110560561 11200221121122