34202233212000 has 768 divisors, whose sum is σ = 130844727336960. Its totient is φ = 7648494336000.

The previous prime is 34202233211863. The next prime is 34202233212163. The reversal of 34202233212000 is 21233220243.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1045699647 + ... + 1045732353.

It is an arithmetic number, because the mean of its divisors is an integer number (170370738720).

Almost surely, 2^{34202233212000} is an apocalyptic number.

34202233212000 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 34202233212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65422363668480).

34202233212000 is an abundant number, since it is smaller than the sum of its proper divisors (96642494124960).

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

34202233212000 is a wasteful number, since it uses less digits than its factorization.

34202233212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33012 (or 32994 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 34202233212000 its reverse (21233220243), we get a palindrome (34223466432243).

The spelling of 34202233212000 in words is "thirty-four trillion, two hundred two billion, two hundred thirty-three million, two hundred twelve thousand".