121553052214400 has 48 divisors (see below), whose sum is σ = 300274024306290. Its totient is φ = 48621220884480.

The previous prime is 121553052214343. The next prime is 121553052214403. The reversal of 121553052214400 is 4412250355121.

It can be written as a sum of positive squares in 3 ways, for example, as 86988153641536 + 34564898572864 = 9326744^2 + 5879192^2 .

It is not an unprimeable number, because it can be changed into a prime (121553052214403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18992661209 + ... + 18992667608.

Almost surely, 2^{121553052214400} is an apocalyptic number.

121553052214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121553052214400 is an abundant number, since it is smaller than the sum of its proper divisors (178720972091890).

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

121553052214400 is an equidigital number, since it uses as much as digits as its factorization.

121553052214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37985328841 (or 37985328824 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 121553052214400 in words is "one hundred twenty-one trillion, five hundred fifty-three billion, fifty-two million, two hundred fourteen thousand, four hundred".