122192193600 has 315 divisors, whose sum is σ = 449610805501. Its totient is φ = 32551027200.

The previous prime is 122192193569. The next prime is 122192193659. The reversal of 122192193600 is 6391291221.

The square root of 122192193600 is 349560.

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

122192193600 is a `hidden beast` number, since 1 + 2 + 21 + 9 + 21 + 9 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43989189696 + 78203003904 = 209736^2 + 279648^2 .

It is a super-3 number, since 3×122192193600³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 125841115 + ... + 125842085.

Almost surely, 2^122192193600 is an apocalyptic number.

122192193600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122192193600 is the 349560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122192193600

122192193600 is an abundant number, since it is smaller than the sum of its proper divisors (327418611901).

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

122192193600 is an frugal number, since it uses more digits than its factorization.

122192193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 122192193600 by its sum of digits (36), we get a square (4398918969600 = 2097360²).

122192193600 divided by its sum of digits (36) gives a square (3394227600 = 58260²).

The spelling of 122192193600 in words is "one hundred twenty-two billion, one hundred ninety-two million, one hundred ninety-three thousand, six hundred".