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11121202200 = 2335233755001
BaseRepresentation
bin10100101101110000…
…00001010000011000
31001201001111121101210
422112320001100120
5140234011432300
65035313543120
7542410442013
oct122670012030
931631447353
1011121202200
1147976a08a9
1221a4574aa0
131083082824
1477702037a
15451531050
hex296e01418

11121202200 has 96 divisors (see below), whose sum is σ = 34578657360. Its totient is φ = 2956800000.

The previous prime is 11121202133. The next prime is 11121202201. The reversal of 11121202200 is 220212111.

It is a super-2 number, since 2×111212022002 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121202201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174700 + ... + 229700.

Almost surely, 211121202200 is an apocalyptic number.

11121202200 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 11121202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17289328680).

11121202200 is an abundant number, since it is smaller than the sum of its proper divisors (23457455160).

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

11121202200 is a wasteful number, since it uses less digits than its factorization.

11121202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55357 (or 55348 counting only the distinct ones).

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

Adding to 11121202200 its reverse (220212111), we get a palindrome (11341414311).

The spelling of 11121202200 in words is "eleven billion, one hundred twenty-one million, two hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 337 600 674 1011 1348 1685 2022 2696 3370 4044 5055 6740 8088 8425 10110 13480 16850 20220 25275 33700 40440 50550 55001 67400 101100 110002 165003 202200 220004 275005 330006 440008 550010 660012 825015 1100020 1320024 1375025 1650030 2200040 2750050 3300060 4125075 5500100 6600120 8250150 11000200 16500300 18535337 33000600 37070674 55606011 74141348 92676685 111212022 148282696 185353370 222424044 278030055 370706740 444848088 463383425 556060110 741413480 926766850 1112120220 1390150275 1853533700 2224240440 2780300550 3707067400 5560601100 11121202200