1033260890112 has 192 divisors, whose sum is σ = 3339019756800. Its totient is φ = 313109176320.

The previous prime is 1033260890107. The next prime is 1033260890119. The reversal of 1033260890112 is 2110980623301.

1033260890112 is a `hidden beast` number, since 1 + 0 + 3 + 32 + 608 + 9 + 0 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1033260890119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241108 + ... + 1457619.

It is an arithmetic number, because the mean of its divisors is an integer number (17390727900).

Almost surely, 2^{1033260890112} is an apocalyptic number.

1033260890112 is a gapful number since it is divisible by the number (12) 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 1033260890112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669509878400).

1033260890112 is an abundant number, since it is smaller than the sum of its proper divisors (2305758866688).

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

1033260890112 is a wasteful number, since it uses less digits than its factorization.

1033260890112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698769 (or 1698743 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1033260890112 in words is "one trillion, thirty-three billion, two hundred sixty million, eight hundred ninety thousand, one hundred twelve".