122006767104 has 400 divisors, whose sum is σ = 390373951968. Its totient is φ = 37838389248.

The previous prime is 122006767079. The next prime is 122006767109. The reversal of 122006767104 is 401767600221.

122006767104 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122006767109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35290944 + ... + 35294400.

Almost surely, 2^122006767104 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 122006767104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195186975984).

122006767104 is an abundant number, since it is smaller than the sum of its proper divisors (268367184864).

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

122006767104 is an equidigital number, since it uses as much as digits as its factorization.

122006767104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3522 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 122006767104 in words is "one hundred twenty-two billion, six million, seven hundred sixty-seven thousand, one hundred four".