34121210256 has 80 divisors (see below), whose sum is σ = 111932022400. Its totient is φ = 9748916352.

The previous prime is 34121210243. The next prime is 34121210257. The reversal of 34121210256 is 65201212143.

34121210256 is a `hidden beast` number, since 341 + 212 + 102 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34121210257) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5638711 + ... + 5644758.

It is an arithmetic number, because the mean of its divisors is an integer number (1399150280).

Almost surely, 2^34121210256 is an apocalyptic number.

34121210256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34121210256 is an abundant number, since it is smaller than the sum of its proper divisors (77810812144).

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

34121210256 is a wasteful number, since it uses less digits than its factorization.

34121210256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11283493 (or 11283481 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 34121210256 its reverse (65201212143), we get a palindrome (99322422399).

The spelling of 34121210256 in words is "thirty-four billion, one hundred twenty-one million, two hundred ten thousand, two hundred fifty-six".