122205351520 has 96 divisors (see below), whose sum is σ = 330586921728. Its totient is φ = 41818664448.

The previous prime is 122205351451. The next prime is 122205351551. The reversal of 122205351520 is 25153502221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 481447 + ... + 690073.

It is an arithmetic number, because the mean of its divisors is an integer number (3443613768).

Almost surely, 2^122205351520 is an apocalyptic number.

122205351520 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 122205351520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165293460864).

122205351520 is an abundant number, since it is smaller than the sum of its proper divisors (208381570208).

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

122205351520 is a wasteful number, since it uses less digits than its factorization.

122205351520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209172 (or 209164 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 122205351520 its reverse (25153502221), we get a palindrome (147358853741).

The spelling of 122205351520 in words is "one hundred twenty-two billion, two hundred five million, three hundred fifty-one thousand, five hundred twenty".