74022070122000 has 3840 divisors, whose sum is σ = 355891221504000. Its totient is φ = 13843740672000.

The previous prime is 74022070121953. The next prime is 74022070122043. The reversal of 74022070122000 is 22107022047.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 190288097806 + ... + 190288098194.

It is an arithmetic number, because the mean of its divisors is an integer number (92680005600).

Almost surely, 2^{74022070122000} is an apocalyptic number.

74022070122000 is a gapful number since it is divisible by the number (70) 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 74022070122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177945610752000).

74022070122000 is an abundant number, since it is smaller than the sum of its proper divisors (281869151382000).

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

74022070122000 is a wasteful number, since it uses less digits than its factorization.

74022070122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 74022070122000 its reverse (22107022047), we get a palindrome (74044177144047).

The spelling of 74022070122000 in words is "seventy-four trillion, twenty-two billion, seventy million, one hundred twenty-two thousand".