11120029200 has 360 divisors, whose sum is σ = 44309572736. Its totient is φ = 2529792000.

The previous prime is 11120029183. The next prime is 11120029211. The reversal of 11120029200 is 292002111.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6072285 + ... + 6074115.

Almost surely, 2^11120029200 is an apocalyptic number.

11120029200 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 11120029200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154786368).

11120029200 is an abundant number, since it is smaller than the sum of its proper divisors (33189543536).

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

11120029200 is a wasteful number, since it uses less digits than its factorization.

11120029200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 11120029200 in words is "eleven billion, one hundred twenty million, twenty-nine thousand, two hundred".