83121122061735 has 64 divisors (see below), whose sum is σ = 135647737758720. Its totient is φ = 43454598405120.

The previous prime is 83121122061701. The next prime is 83121122061737. The reversal of 83121122061735 is 53716022112138.

It is a happy number.

It is not a de Polignac number, because 83121122061735 - 2⁶ = 83121122061671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83121122061737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198032440 + ... + 198451730.

It is an arithmetic number, because the mean of its divisors is an integer number (2119495902480).

Almost surely, 2^{83121122061735} is an apocalyptic number.

83121122061735 is a deficient number, since it is larger than the sum of its proper divisors (52526615696985).

83121122061735 is a wasteful number, since it uses less digits than its factorization.

83121122061735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420488.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 83121122061735 in words is "eighty-three trillion, one hundred twenty-one billion, one hundred twenty-two million, sixty-one thousand, seven hundred thirty-five".