34142222001312 has 36 divisors (see below), whose sum is σ = 97091943817050. Its totient is φ = 11380740667008.

The previous prime is 34142222001287. The next prime is 34142222001313. The reversal of 34142222001312 is 21310022224143.

34142222001312 is a `hidden beast` number, since 3 + 4 + 1 + 422 + 2 + 200 + 1 + 31 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25492764529296 + 8649457472016 = 5049036^2 + 2940996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (34142222001313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59274690687 + ... + 59274691262.

Almost surely, 2^{34142222001312} is an apocalyptic number.

34142222001312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34142222001312 is an abundant number, since it is smaller than the sum of its proper divisors (62949721815738).

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

34142222001312 is a wasteful number, since it uses less digits than its factorization.

34142222001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118549381965 (or 118549381954 counting only the distinct ones).

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

Adding to 34142222001312 its reverse (21310022224143), we get a palindrome (55452244225455).

The spelling of 34142222001312 in words is "thirty-four trillion, one hundred forty-two billion, two hundred twenty-two million, one thousand, three hundred twelve".