34102143412000 has 96 divisors (see below), whose sum is σ = 88717729267440. Its totient is φ = 12838453964800.

The previous prime is 34102143411989. The next prime is 34102143412069. The reversal of 34102143412000 is 21434120143.

It can be written as a sum of positive squares in 8 ways, for example, as 9313654141584 + 24788489270416 = 3051828^2 + 4978804^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 250683055 + ... + 250819054.

Almost surely, 2^{34102143412000} is an apocalyptic number.

It is an amenable number.

34102143412000 is an abundant number, since it is smaller than the sum of its proper divisors (54615585855440).

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

34102143412000 is a wasteful number, since it uses less digits than its factorization.

34102143412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501502151 (or 501502133 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 34102143412000 its reverse (21434120143), we get a palindrome (34123577532143).

The spelling of 34102143412000 in words is "thirty-four trillion, one hundred two billion, one hundred forty-three million, four hundred twelve thousand".