33234141120000 has 200 divisors, whose sum is σ = 110636874411096. Its totient is φ = 8862437376000.

The previous prime is 33234141119987. The next prime is 33234141120001. The reversal of 33234141120000 is 2114143233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×33234141120000² (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 not an unprimeable number, because it can be changed into a prime (33234141120001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16349449 + ... + 18269448.

Almost surely, 2^{33234141120000} is an apocalyptic number.

33234141120000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33234141120000 is an abundant number, since it is smaller than the sum of its proper divisors (77402733291096).

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

33234141120000 is an frugal number, since it uses more digits than its factorization.

33234141120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34618938 (or 34618907 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 33234141120000 its reverse (2114143233), we get a palindrome (33236255263233).

The spelling of 33234141120000 in words is "thirty-three trillion, two hundred thirty-four billion, one hundred forty-one million, one hundred twenty thousand".