11221148400 has 240 divisors, whose sum is σ = 44815012608. Its totient is φ = 2331648000.

The previous prime is 11221148369. The next prime is 11221148413. The reversal of 11221148400 is 484112211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31680 + ... + 153120.

Almost surely, 2^11221148400 is an apocalyptic number.

11221148400 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 11221148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407506304).

11221148400 is an abundant number, since it is smaller than the sum of its proper divisors (33593864208).

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

11221148400 is a wasteful number, since it uses less digits than its factorization.

11221148400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121480 (or 121469 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 11221148400 in words is "eleven billion, two hundred twenty-one million, one hundred forty-eight thousand, four hundred".