34122332040120 has 480 divisors, whose sum is σ = 121903580335680. Its totient is φ = 8559019560960.

The previous prime is 34122332040053. The next prime is 34122332040133. The reversal of 34122332040120 is 2104023322143.

34122332040120 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 233 + 2 + 0 + 401 + 20 = 666.

It is a super-2 number, since 2×34122332040120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1751919822 + ... + 1751939298.

It is an arithmetic number, because the mean of its divisors is an integer number (253965792366).

Almost surely, 2^{34122332040120} is an apocalyptic number.

34122332040120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34122332040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60951790167840).

34122332040120 is an abundant number, since it is smaller than the sum of its proper divisors (87781248295560).

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

34122332040120 is a wasteful number, since it uses less digits than its factorization.

34122332040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21405 (or 21375 counting only the distinct ones).

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

Adding to 34122332040120 its reverse (2104023322143), we get a palindrome (36226355362263).

The spelling of 34122332040120 in words is "thirty-four trillion, one hundred twenty-two billion, three hundred thirty-two million, forty thousand, one hundred twenty".