34212204331002 has 128 divisors (see below), whose sum is σ = 80608517383680. Its totient is φ = 10718686540800.

The previous prime is 34212204330989. The next prime is 34212204331013. The reversal of 34212204331002 is 20013340221243.

34212204331002 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 220 + 433 + 1 + 0 + 0 + 2 = 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 63 ways as a sum of consecutive naturals, for example, 5415891148 + ... + 5415897464.

It is an arithmetic number, because the mean of its divisors is an integer number (629754042060).

Almost surely, 2^{34212204331002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34212204331002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40304258691840).

34212204331002 is an abundant number, since it is smaller than the sum of its proper divisors (46396313052678).

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

34212204331002 is a wasteful number, since it uses less digits than its factorization.

34212204331002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13413 (or 13407 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34212204331002 its reverse (20013340221243), we get a palindrome (54225544552245).

The spelling of 34212204331002 in words is "thirty-four trillion, two hundred twelve billion, two hundred four million, three hundred thirty-one thousand, two".