122472001600 has 189 divisors, whose sum is σ = 326807807013. Its totient is φ = 45153239040.

The previous prime is 122472001541. The next prime is 122472001607. The reversal of 122472001600 is 6100274221.

The square root of 122472001600 is 349960.

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

It can be written as a sum of positive squares in 13 ways, for example, as 121756332096 + 715669504 = 348936^2 + 26752^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122472001607) 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, 181978864 + ... + 181979536.

Almost surely, 2^122472001600 is an apocalyptic number.

122472001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122472001600 is the 349960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122472001600

122472001600 is an abundant number, since it is smaller than the sum of its proper divisors (204335805413).

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

122472001600 is an frugal number, since it uses more digits than its factorization.

122472001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Multiplying 122472001600 by its sum of digits (25), we get a square (3061800040000 = 1749800²).

122472001600 divided by its sum of digits (25) gives a square (4898880064 = 69992²).

Adding to 122472001600 its reverse (6100274221), we get a palindrome (128572275821).

The spelling of 122472001600 in words is "one hundred twenty-two billion, four hundred seventy-two million, one thousand, six hundred".