34050124512 has 144 divisors (see below), whose sum is σ = 98215095888. Its totient is φ = 11188316160.

The previous prime is 34050124489. The next prime is 34050124547. The reversal of 34050124512 is 21542105043.

34050124512 is a `hidden beast` number, since 3 + 405 + 0 + 1 + 245 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12930748 + ... + 12933380.

It is an arithmetic number, because the mean of its divisors is an integer number (682049277).

Almost surely, 2^34050124512 is an apocalyptic number.

34050124512 is a gapful number since it is divisible by the number (32) 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 34050124512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49107547944).

34050124512 is an abundant number, since it is smaller than the sum of its proper divisors (64164971376).

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

34050124512 is a wasteful number, since it uses less digits than its factorization.

34050124512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 34050124512 its reverse (21542105043), we get a palindrome (55592229555).

The spelling of 34050124512 in words is "thirty-four billion, fifty million, one hundred twenty-four thousand, five hundred twelve".