1233312441400 has 96 divisors (see below), whose sum is σ = 3089122596000. Its totient is φ = 455214988800.

The previous prime is 1233312441397. The next prime is 1233312441401. The reversal of 1233312441400 is 41442133321.

It is a happy number.

It is a super-2 number, since 2×1233312441400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233312441401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7355701 + ... + 7521499.

It is an arithmetic number, because the mean of its divisors is an integer number (32178360375).

Almost surely, 2^{1233312441400} is an apocalyptic number.

1233312441400 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 1233312441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544561298000).

1233312441400 is an abundant number, since it is smaller than the sum of its proper divisors (1855810154600).

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

1233312441400 is a wasteful number, since it uses less digits than its factorization.

1233312441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168689 (or 168680 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1233312441400 its reverse (41442133321), we get a palindrome (1274754574721).

The spelling of 1233312441400 in words is "one trillion, two hundred thirty-three billion, three hundred twelve million, four hundred forty-one thousand, four hundred".