122528001600 has 189 divisors, whose sum is σ = 435642794067. Its totient is φ = 32662932480.

The previous prime is 122528001559. The next prime is 122528001601. The reversal of 122528001600 is 6100825221.

It is a happy number.

The square root of 122528001600 is 350040.

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

122528001600 is a `hidden beast` number, since 1 + 2 + 2 + 52 + 8 + 0 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39805038144 + 82722963456 = 199512^2 + 287616^2 .

It is a super-2 number, since 2×122528001600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122528001601) 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, 42003342 + ... + 42006258.

Almost surely, 2^122528001600 is an apocalyptic number.

122528001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122528001600 is the 350040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122528001600

122528001600 is an abundant number, since it is smaller than the sum of its proper divisors (313114792467).

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

122528001600 is an frugal number, since it uses more digits than its factorization.

122528001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 122528001600 its reverse (6100825221), we get a palindrome (128628826821).

The spelling of 122528001600 in words is "one hundred twenty-two billion, five hundred twenty-eight million, one thousand, six hundred".