1123440212400 has 240 divisors, whose sum is σ = 3927630187008. Its totient is φ = 272230016000.

The previous prime is 1123440212339. The next prime is 1123440212407. The reversal of 1123440212400 is 42120443211.

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

It is a super-2 number, since 2×1123440212400² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1123440212407) 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, 32283010 + ... + 32317790.

Almost surely, 2^{1123440212400} is an apocalyptic number.

1123440212400 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 1123440212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963815093504).

1123440212400 is an abundant number, since it is smaller than the sum of its proper divisors (2804189974608).

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

1123440212400 is a wasteful number, since it uses less digits than its factorization.

1123440212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37260 (or 37249 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1123440212400 its reverse (42120443211), we get a palindrome (1165560655611).

The spelling of 1123440212400 in words is "one trillion, one hundred twenty-three billion, four hundred forty million, two hundred twelve thousand, four hundred".