34112244101220 has 144 divisors (see below), whose sum is σ = 105022142447040. Its totient is φ = 8960491254528.

The previous prime is 34112244101183. The next prime is 34112244101233. The reversal of 34112244101220 is 2210144221143.

34112244101220 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 2 + 24 + 410 + 1 + 220 = 666.

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 47 ways as a sum of consecutive naturals, for example, 627924979 + ... + 627979301.

It is an arithmetic number, because the mean of its divisors is an integer number (729320433660).

Almost surely, 2^{34112244101220} is an apocalyptic number.

34112244101220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34112244101220 is an abundant number, since it is smaller than the sum of its proper divisors (70909898345820).

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

34112244101220 is a wasteful number, since it uses less digits than its factorization.

34112244101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106474 (or 106469 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 34112244101220 its reverse (2210144221143), we get a palindrome (36322388322363).

The spelling of 34112244101220 in words is "thirty-four trillion, one hundred twelve billion, two hundred forty-four million, one hundred one thousand, two hundred twenty".