1122141234400 has 288 divisors, whose sum is σ = 2833046798400. Its totient is φ = 433751654400.

The previous prime is 1122141234397. The next prime is 1122141234407. The reversal of 1122141234400 is 44321412211.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122141234407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2743621396 + ... + 2743621804.

It is an arithmetic number, because the mean of its divisors is an integer number (9836968050).

Almost surely, 2^{1122141234400} is an apocalyptic number.

1122141234400 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 1122141234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416523399200).

1122141234400 is an abundant number, since it is smaller than the sum of its proper divisors (1710905564000).

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

1122141234400 is a wasteful number, since it uses less digits than its factorization.

1122141234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1122141234400 its reverse (44321412211), we get a palindrome (1166462646611).

The spelling of 1122141234400 in words is "one trillion, one hundred twenty-two billion, one hundred forty-one million, two hundred thirty-four thousand, four hundred".