122480400784 has 135 divisors (see below), whose sum is σ = 286561640001. Its totient is φ = 50563954560.

The previous prime is 122480400719. The next prime is 122480400787. The reversal of 122480400784 is 487004084221.

The square root of 122480400784 is 349972.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 64225751184 + 58254649600 = 253428^2 + 241360^2 .

It is not an unprimeable number, because it can be changed into a prime (122480400787) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 284177049 + ... + 284177479.

Almost surely, 2^122480400784 is an apocalyptic number.

122480400784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122480400784 is the 349972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122480400784

122480400784 is an abundant number, since it is smaller than the sum of its proper divisors (164081239217).

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

122480400784 is an frugal number, since it uses more digits than its factorization.

122480400784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The spelling of 122480400784 in words is "one hundred twenty-two billion, four hundred eighty million, four hundred thousand, seven hundred eighty-four".