11200310000 has 400 divisors, whose sum is σ = 32632554240. Its totient is φ = 3674880000.

The previous prime is 11200309993. The next prime is 11200310003. The reversal of 11200310000 is 1300211.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×11200310000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11200310000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200310003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48069884 + ... + 48070116.

Almost surely, 2^11200310000 is an apocalyptic number.

11200310000 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 11200310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16316277120).

11200310000 is an abundant number, since it is smaller than the sum of its proper divisors (21432244240).

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

11200310000 is a wasteful number, since it uses less digits than its factorization.

11200310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 11200310000 its reverse (1300211), we get a palindrome (11201610211).

The spelling of 11200310000 in words is "eleven billion, two hundred million, three hundred ten thousand".