1033112122400 has 72 divisors (see below), whose sum is σ = 2522839285764. Its totient is φ = 413121254400.

The previous prime is 1033112122379. The next prime is 1033112122409. The reversal of 1033112122400 is 42212113301.

It can be written as a sum of positive squares in 6 ways, for example, as 878666266384 + 154445856016 = 937372^2 + 392996^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1033112122409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2506970 + ... + 2889830.

Almost surely, 2^{1033112122400} is an apocalyptic number.

1033112122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033112122400 is an abundant number, since it is smaller than the sum of its proper divisors (1489727163364).

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

1033112122400 is a wasteful number, since it uses less digits than its factorization.

1033112122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386254 (or 386241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1033112122400 its reverse (42212113301), we get a palindrome (1075324235701).

Subtracting from 1033112122400 its reverse (42212113301), we obtain a palindrome (990900009099).

The spelling of 1033112122400 in words is "one trillion, thirty-three billion, one hundred twelve million, one hundred twenty-two thousand, four hundred".