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11220122021200 = 245228050305053
BaseRepresentation
bin1010001101000110001101…
…1000110010110101010000
31110201122002121001221200021
42203101203120302311100
52432312302214134300
635510241454233224
72235425040404221
oct243214330626520
943648077057607
1011220122021200
1136364774114a4
1213126501b5814
1363508c4a1a41
142ab0b1c23248
15146cdb44dd1a
hexa3463632d50

11220122021200 has 30 divisors (see below), whose sum is σ = 26956343156894. Its totient is φ = 4488048808320.

The previous prime is 11220122021177. The next prime is 11220122021231. The reversal of 11220122021200 is 212022102211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2908225443904 + 8311896577296 = 1705352^2 + 2883036^2 .

It is a super-2 number, since 2×112201220212002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14025152127 + ... + 14025152926.

Almost surely, 211220122021200 is an apocalyptic number.

11220122021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220122021200 is an abundant number, since it is smaller than the sum of its proper divisors (15736221135694).

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

11220122021200 is a wasteful number, since it uses less digits than its factorization.

11220122021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28050305071 (or 28050305060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11220122021200 its reverse (212022102211), we get a palindrome (11432144123411).

The spelling of 11220122021200 in words is "eleven trillion, two hundred twenty billion, one hundred twenty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 28050305053 56100610106 112201220212 140251525265 224402440424 280503050530 448804880848 561006101060 701257626325 1122012202120 1402515252650 2244024404240 2805030505300 5610061010600 11220122021200