34212000000 has 252 divisors, whose sum is σ = 113855730128. Its totient is φ = 9120000000.

The previous prime is 34211999981. The next prime is 34212000019. The reversal of 34212000000 is 21243.

It is an interprime number because it is at equal distance from previous prime (34211999981) and next prime (34212000019).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 34212000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11998575 + ... + 12001425.

Almost surely, 2^34212000000 is an apocalyptic number.

34212000000 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 34212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56927865064).

34212000000 is an abundant number, since it is smaller than the sum of its proper divisors (79643730128).

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

34212000000 is an frugal number, since it uses more digits than its factorization.

34212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 34212000000 its reverse (21243), we get a palindrome (34212021243).

The spelling of 34212000000 in words is "thirty-four billion, two hundred twelve million", and thus it is an aban number.