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11121202201200 = 24352713101842511
BaseRepresentation
bin1010000111010101101101…
…0011101000001001110000
31110101011202200222102211020
42201311123103220021300
52424202210230414300
635353002035215440
72225323520662440
oct241653323501160
943334680872736
1011121202201200
1135a8525793643
1212b7444147580
136289566c3780
142a63aa422120
1514444be828a0
hexa1d5b4e8270

11121202201200 has 240 divisors, whose sum is σ = 43846053006336. Its totient is φ = 2346451430400.

The previous prime is 11121202201199. The next prime is 11121202201223. The reversal of 11121202201200 is 210220212111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×111212022012002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11121202201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50812056 + ... + 51030455.

Almost surely, 211121202201200 is an apocalyptic number.

11121202201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121202201200 is an abundant number, since it is smaller than the sum of its proper divisors (32724850805136).

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

11121202201200 is a wasteful number, since it uses less digits than its factorization.

11121202201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101842552 (or 101842541 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11121202201200 its reverse (210220212111), we get a palindrome (11331422413311).

The spelling of 11121202201200 in words is "eleven trillion, one hundred twenty-one billion, two hundred two million, two hundred one thousand, two hundred".