12034133234400 has 72 divisors (see below), whose sum is σ = 39171103685784. Its totient is φ = 3209102195200.

The previous prime is 12034133234393. The next prime is 12034133234419. The reversal of 12034133234400 is 443233143021.

It is a happy number.

12034133234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2507108691 + ... + 2507113490.

It is an arithmetic number, because the mean of its divisors is an integer number (544043106747).

Almost surely, 2^{12034133234400} is an apocalyptic number.

12034133234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12034133234400 is an abundant number, since it is smaller than the sum of its proper divisors (27136970451384).

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

12034133234400 is a wasteful number, since it uses less digits than its factorization.

12034133234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5014222204 (or 5014222191 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 12034133234400 its reverse (443233143021), we get a palindrome (12477366377421).

The spelling of 12034133234400 in words is "twelve trillion, thirty-four billion, one hundred thirty-three million, two hundred thirty-four thousand, four hundred".