11024123220400 has 120 divisors (see below), whose sum is σ = 28472607636480. Its totient is φ = 4088678042880.

The previous prime is 11024123220373. The next prime is 11024123220401. The reversal of 11024123220400 is 402232142011.

It is not an unprimeable number, because it can be changed into a prime (11024123220401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15074104 + ... + 15788503.

It is an arithmetic number, because the mean of its divisors is an integer number (237271730304).

Almost surely, 2^{11024123220400} is an apocalyptic number.

11024123220400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11024123220400 is an abundant number, since it is smaller than the sum of its proper divisors (17448484416080).

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

11024123220400 is a wasteful number, since it uses less digits than its factorization.

11024123220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30862691 (or 30862680 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11024123220400 its reverse (402232142011), we get a palindrome (11426355362411).

The spelling of 11024123220400 in words is "eleven trillion, twenty-four billion, one hundred twenty-three million, two hundred twenty thousand, four hundred".