122420180736 has 216 divisors, whose sum is σ = 418333412224. Its totient is φ = 34977070080.

The previous prime is 122420180731. The next prime is 122420180767. The reversal of 122420180736 is 637081024221.

It is a happy number.

122420180736 is a `hidden beast` number, since 1 + 22 + 420 + 180 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 122420180736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122420180731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294891 + ... + 576021.

Almost surely, 2^122420180736 is an apocalyptic number.

122420180736 is a gapful number since it is divisible by the number (16) 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 122420180736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209166706112).

122420180736 is an abundant number, since it is smaller than the sum of its proper divisors (295913231488).

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

122420180736 is an frugal number, since it uses more digits than its factorization.

122420180736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281169 (or 281143 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 122420180736 in words is "one hundred twenty-two billion, four hundred twenty million, one hundred eighty thousand, seven hundred thirty-six".