34004220212000 has 96 divisors (see below), whose sum is σ = 83562382874880. Its totient is φ = 13599406636800.

The previous prime is 34004220211991. The next prime is 34004220212021. The reversal of 34004220212000 is 21202240043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23238041 + ... + 24657959.

It is an arithmetic number, because the mean of its divisors is an integer number (870441488280).

Almost surely, 2^{34004220212000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34004220212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41781191437440).

34004220212000 is an abundant number, since it is smaller than the sum of its proper divisors (49558162662880).

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

34004220212000 is a wasteful number, since it uses less digits than its factorization.

34004220212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425931 (or 1425913 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34004220212000 its reverse (21202240043), we get a palindrome (34025422452043).

The spelling of 34004220212000 in words is "thirty-four trillion, four billion, two hundred twenty million, two hundred twelve thousand".