122285629440 has 1344 divisors, whose sum is σ = 515238796800. Its totient is φ = 26499612672.

The previous prime is 122285629399. The next prime is 122285629469. The reversal of 122285629440 is 44926582221.

122285629440 is a `hidden beast` number, since 1 + 22 + 28 + 562 + 9 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1547919321 + ... + 1547919399.

It is an arithmetic number, because the mean of its divisors is an integer number (383362200).

Almost surely, 2^122285629440 is an apocalyptic number.

122285629440 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 122285629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257619398400).

122285629440 is an abundant number, since it is smaller than the sum of its proper divisors (392953167360).

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

122285629440 is a wasteful number, since it uses less digits than its factorization.

122285629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 122285629440 in words is "one hundred twenty-two billion, two hundred eighty-five million, six hundred twenty-nine thousand, four hundred forty".