121197772800 has 900 divisors, whose sum is σ = 485244799116. Its totient is φ = 29727129600.

The previous prime is 121197772789. The next prime is 121197772811. The reversal of 121197772800 is 8277791121.

121197772800 is a `hidden beast` number, since 1 + 211 + 97 + 77 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121197772789) and next prime (121197772811).

It can be written as a sum of positive squares in 6 ways, for example, as 7267221504 + 113930551296 = 85248^2 + 337536^2 .

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 431308660 + ... + 431308940.

Almost surely, 2^121197772800 is an apocalyptic number.

121197772800 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 121197772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242622399558).

121197772800 is an abundant number, since it is smaller than the sum of its proper divisors (364047026316).

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

121197772800 is an equidigital number, since it uses as much as digits as its factorization.

121197772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 45.

The spelling of 121197772800 in words is "one hundred twenty-one billion, one hundred ninety-seven million, seven hundred seventy-two thousand, eight hundred".