34232111124000 has 96 divisors (see below), whose sum is σ = 112144396081536. Its totient is φ = 9128562963200.

The previous prime is 34232111123879. The next prime is 34232111124023. The reversal of 34232111124000 is 42111123243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-5 number, since 5×34232111124000⁵ (a number of 69 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1426325964 + ... + 1426349963.

It is an arithmetic number, because the mean of its divisors is an integer number (1168170792516).

Almost surely, 2^{34232111124000} is an apocalyptic number.

34232111124000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34232111124000 is an abundant number, since it is smaller than the sum of its proper divisors (77912284957536).

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

34232111124000 is a wasteful number, since it uses less digits than its factorization.

34232111124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852675955 (or 2852675937 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 34232111124000 its reverse (42111123243), we get a palindrome (34274222247243).

The spelling of 34232111124000 in words is "thirty-four trillion, two hundred thirty-two billion, one hundred eleven million, one hundred twenty-four thousand".