11242202400 has 864 divisors, whose sum is σ = 47601328320. Its totient is φ = 2460672000.

The previous prime is 11242202383. The next prime is 11242202441. The reversal of 11242202400 is 420224211.

11242202400 is a `hidden beast` number, since 1 + 1 + 2 + 422 + 0 + 240 + 0 = 666.

It is a super-2 number, since 2×11242202400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62805511 + ... + 62805689.

It is an arithmetic number, because the mean of its divisors is an integer number (55094130).

Almost surely, 2^11242202400 is an apocalyptic number.

11242202400 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 11242202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23800664160).

11242202400 is an abundant number, since it is smaller than the sum of its proper divisors (36359125920).

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

11242202400 is a wasteful number, since it uses less digits than its factorization.

11242202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 11242202400 its reverse (420224211), we get a palindrome (11662426611).

The spelling of 11242202400 in words is "eleven billion, two hundred forty-two million, two hundred two thousand, four hundred".