122735969730 has 576 divisors, whose sum is σ = 385460674560. Its totient is φ = 26810784000.

The previous prime is 122735969729. The next prime is 122735969813. The reversal of 122735969730 is 37969537221.

122735969730 is a `hidden beast` number, since 1 + 227 + 359 + 69 + 7 + 3 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1553619831 + ... + 1553619909.

It is an arithmetic number, because the mean of its divisors is an integer number (669202560).

Almost surely, 2^122735969730 is an apocalyptic number.

122735969730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122735969730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192730337280).

122735969730 is an abundant number, since it is smaller than the sum of its proper divisors (262724704830).

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

122735969730 is a wasteful number, since it uses less digits than its factorization.

122735969730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 122735969730 in words is "one hundred twenty-two billion, seven hundred thirty-five million, nine hundred sixty-nine thousand, seven hundred thirty".