33120121230000 has 600 divisors, whose sum is σ = 133038089184000. Its totient is φ = 7532243136000.

The previous prime is 33120121229953. The next prime is 33120121230029. The reversal of 33120121230000 is 3212102133.

33120121230000 is a `hidden beast` number, since 3 + 312 + 0 + 121 + 230 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 125237911 + ... + 125502089.

It is an arithmetic number, because the mean of its divisors is an integer number (221730148640).

Almost surely, 2^{33120121230000} is an apocalyptic number.

33120121230000 is a gapful number since it is divisible by the number (30) 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 33120121230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66519044592000).

33120121230000 is an abundant number, since it is smaller than the sum of its proper divisors (99917967954000).

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

33120121230000 is a wasteful number, since it uses less digits than its factorization.

33120121230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264419 (or 264395 counting only the distinct ones).

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

Adding to 33120121230000 its reverse (3212102133), we get a palindrome (33123333332133).

The spelling of 33120121230000 in words is "thirty-three trillion, one hundred twenty billion, one hundred twenty-one million, two hundred thirty thousand".