34123202121132 has 288 divisors, whose sum is σ = 96097838054400. Its totient is φ = 10159743154176.

The previous prime is 34123202121061. The next prime is 34123202121143. The reversal of 34123202121132 is 23112120232143.

34123202121132 is a `hidden beast` number, since 3 + 4 + 12 + 320 + 212 + 113 + 2 = 666.

It is a super-2 number, since 2×34123202121132² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34123202121096 and 34123202121105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 550529719 + ... + 550591697.

It is an arithmetic number, because the mean of its divisors is an integer number (333673048800).

Almost surely, 2^{34123202121132} 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 34123202121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48048919027200).

34123202121132 is an abundant number, since it is smaller than the sum of its proper divisors (61974635933268).

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

34123202121132 is a wasteful number, since it uses less digits than its factorization.

34123202121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62565 (or 62560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34123202121132 its reverse (23112120232143), we get a palindrome (57235322353275).

The spelling of 34123202121132 in words is "thirty-four trillion, one hundred twenty-three billion, two hundred two million, one hundred twenty-one thousand, one hundred thirty-two".