34201212122000 has 640 divisors, whose sum is σ = 104166923747328. Its totient is φ = 10550572032000.

The previous prime is 34201212121981. The next prime is 34201212122003. The reversal of 34201212122000 is 22121210243.

It is a super-2 number, since 2×34201212122000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34201212122003) by changing a digit.

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, 21282645197 + ... + 21282646803.

Almost surely, 2^{34201212122000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34201212122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52083461873664).

34201212122000 is an abundant number, since it is smaller than the sum of its proper divisors (69965711625328).

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

34201212122000 is a wasteful number, since it uses less digits than its factorization.

34201212122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2984 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34201212122000 its reverse (22121210243), we get a palindrome (34223333332243).

The spelling of 34201212122000 in words is "thirty-four trillion, two hundred one billion, two hundred twelve million, one hundred twenty-two thousand".