34111212200 has 96 divisors (see below), whose sum is σ = 86809782360. Its totient is φ = 12388377600.

The previous prime is 34111212133. The next prime is 34111212203. The reversal of 34111212200 is 221211143.

It can be written as a sum of positive squares in 12 ways, for example, as 3402855556 + 30708356644 = 58334^2 + 175238^2 .

It is not an unprimeable number, because it can be changed into a prime (34111212203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51062 + ... + 266138.

Almost surely, 2^34111212200 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 34111212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43404891180).

34111212200 is an abundant number, since it is smaller than the sum of its proper divisors (52698570160).

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

34111212200 is a wasteful number, since it uses less digits than its factorization.

34111212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215167 (or 215158 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 34111212200 its reverse (221211143), we get a palindrome (34332423343).

The spelling of 34111212200 in words is "thirty-four billion, one hundred eleven million, two hundred twelve thousand, two hundred".