121066630400 has 108 divisors (see below), whose sum is σ = 300036840684. Its totient is φ = 48365568000.

The previous prime is 121066630337. The next prime is 121066630417. The reversal of 121066630400 is 4036660121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20318791936 + 100747838464 = 142544^2 + 317408^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5242880 + ... + 5265920.

Almost surely, 2^121066630400 is an apocalyptic number.

121066630400 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 121066630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150018420342).

121066630400 is an abundant number, since it is smaller than the sum of its proper divisors (178970210284).

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

121066630400 is an equidigital number, since it uses as much as digits as its factorization.

121066630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23888 (or 23869 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 121066630400 in words is "one hundred twenty-one billion, sixty-six million, six hundred thirty thousand, four hundred".