11201228222400 has 252 divisors, whose sum is σ = 39815265629152. Its totient is φ = 2986734919680.

The previous prime is 11201228222383. The next prime is 11201228222419. The reversal of 11201228222400 is 422282210211.

11201228222400 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 12 + 28 + 222 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212186409 + ... + 212239191.

Almost surely, 2^{11201228222400} is an apocalyptic number.

11201228222400 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 11201228222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19907632814576).

11201228222400 is an abundant number, since it is smaller than the sum of its proper divisors (28614037406752).

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

11201228222400 is a wasteful number, since it uses less digits than its factorization.

11201228222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67548 (or 67530 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 11201228222400 in words is "eleven trillion, two hundred one billion, two hundred twenty-eight million, two hundred twenty-two thousand, four hundred".