10033322112000 has 1056 divisors, whose sum is σ = 40716638696448. Its totient is φ = 2353766400000.

The previous prime is 10033322111977. The next prime is 10033322112067. The reversal of 10033322112000 is 21122333001.

10033322112000 is a `hidden beast` number, since 100 + 3 + 332 + 211 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392819230 + ... + 392844770.

It is an arithmetic number, because the mean of its divisors is an integer number (38557423008).

Almost surely, 2^{10033322112000} is an apocalyptic number.

10033322112000 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 10033322112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20358319348224).

10033322112000 is an abundant number, since it is smaller than the sum of its proper divisors (30683316584448).

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

10033322112000 is a wasteful number, since it uses less digits than its factorization.

10033322112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25624 (or 25593 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10033322112000 its reverse (21122333001), we get a palindrome (10054444445001).

The spelling of 10033322112000 in words is "ten trillion, thirty-three billion, three hundred twenty-two million, one hundred twelve thousand".