33234121101120 has 224 divisors, whose sum is σ = 111096156979200. Its totient is φ = 8394157246464.

The previous prime is 33234121101113. The next prime is 33234121101133. The reversal of 33234121101120 is 2110112143233.

It is a super-2 number, since 2×33234121101120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84418977 + ... + 84811743.

Almost surely, 2^{33234121101120} is an apocalyptic number.

33234121101120 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 33234121101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55548078489600).

33234121101120 is an abundant number, since it is smaller than the sum of its proper divisors (77862035878080).

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

33234121101120 is a wasteful number, since it uses less digits than its factorization.

33234121101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397445 (or 397435 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 33234121101120 its reverse (2110112143233), we get a palindrome (35344233244353).

The spelling of 33234121101120 in words is "thirty-three trillion, two hundred thirty-four billion, one hundred twenty-one million, one hundred one thousand, one hundred twenty".