121553204221200 has 240 divisors, whose sum is σ = 417247101101376. Its totient is φ = 30139910553600.

The previous prime is 121553204221177. The next prime is 121553204221223. The reversal of 121553204221200 is 2122402355121.

It is an interprime number because it is at equal distance from previous prime (121553204221177) and next prime (121553204221223).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 34201321 + ... + 37587720.

Almost surely, 2^{121553204221200} is an apocalyptic number.

121553204221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121553204221200 is an abundant number, since it is smaller than the sum of its proper divisors (295693896880176).

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

121553204221200 is a wasteful number, since it uses less digits than its factorization.

121553204221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71789162 (or 71789151 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 121553204221200 its reverse (2122402355121), we get a palindrome (123675606576321).

The spelling of 121553204221200 in words is "one hundred twenty-one trillion, five hundred fifty-three billion, two hundred four million, two hundred twenty-one thousand, two hundred".