11014141200 has 60 divisors (see below), whose sum is σ = 35281969488. Its totient is φ = 2937104000.

The previous prime is 11014141199. The next prime is 11014141219. The reversal of 11014141200 is 214141011.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×11014141200² (a number of 21 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 11014141200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4588026 + ... + 4590425.

Almost surely, 2^11014141200 is an apocalyptic number.

11014141200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11014141200 is an abundant number, since it is smaller than the sum of its proper divisors (24267828288).

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

11014141200 is a wasteful number, since it uses less digits than its factorization.

11014141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178472 (or 9178461 counting only the distinct ones).

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

Adding to 11014141200 its reverse (214141011), we get a palindrome (11228282211).

The spelling of 11014141200 in words is "eleven billion, fourteen million, one hundred forty-one thousand, two hundred".