121821991200 has 1440 divisors, whose sum is σ = 556231648896. Its totient is φ = 25261424640.

The previous prime is 121821991183. The next prime is 121821991271. The reversal of 121821991200 is 2199128121.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×121821991200³ (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 430466259 + ... + 430466541.

Almost surely, 2^121821991200 is an apocalyptic number.

121821991200 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 121821991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278115824448).

121821991200 is an abundant number, since it is smaller than the sum of its proper divisors (434409657696).

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

121821991200 is a wasteful number, since it uses less digits than its factorization.

121821991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 121821991200 in words is "one hundred twenty-one billion, eight hundred twenty-one million, nine hundred ninety-one thousand, two hundred".