34122021213420 has 384 divisors, whose sum is σ = 123498592358400. Its totient is φ = 7660604160000.

The previous prime is 34122021213377. The next prime is 34122021213443. The reversal of 34122021213420 is 2431212022143.

34122021213420 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 2 + 0 + 21 + 213 + 420 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50463570 + ... + 51135270.

It is an arithmetic number, because the mean of its divisors is an integer number (321610917600).

Almost surely, 2^{34122021213420} is an apocalyptic number.

34122021213420 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 34122021213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61749296179200).

34122021213420 is an abundant number, since it is smaller than the sum of its proper divisors (89376571144980).

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

34122021213420 is a wasteful number, since it uses less digits than its factorization.

34122021213420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671966 (or 671958 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34122021213420 its reverse (2431212022143), we get a palindrome (36553233235563).

The spelling of 34122021213420 in words is "thirty-four trillion, one hundred twenty-two billion, twenty-one million, two hundred thirteen thousand, four hundred twenty".