122781685440 has 112 divisors (see below), whose sum is σ = 390031833600. Its totient is φ = 32724986880.

The previous prime is 122781685417. The next prime is 122781685441. The reversal of 122781685440 is 44586187221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 122781685440.

It is not an unprimeable number, because it can be changed into a prime (122781685441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1898761 + ... + 1962359.

Almost surely, 2^122781685440 is an apocalyptic number.

122781685440 is a gapful number since it is divisible by the number (10) 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 122781685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195015916800).

122781685440 is an abundant number, since it is smaller than the sum of its proper divisors (267250148160).

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

122781685440 is a wasteful number, since it uses less digits than its factorization.

122781685440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65630 (or 65620 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 122781685440 in words is "one hundred twenty-two billion, seven hundred eighty-one million, six hundred eighty-five thousand, four hundred forty".