121100224000 has 640 divisors, whose sum is σ = 373206113280. Its totient is φ = 38264832000.

The previous prime is 121100223989. The next prime is 121100224027. The reversal of 121100224000 is 422001121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 348991827 + ... + 348992173.

It is an arithmetic number, because the mean of its divisors is an integer number (583134552).

Almost surely, 2^121100224000 is an apocalyptic number.

121100224000 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 121100224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186603056640).

121100224000 is an abundant number, since it is smaller than the sum of its proper divisors (252105889280).

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

121100224000 is an equidigital number, since it uses as much as digits as its factorization.

121100224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 121100224000 its reverse (422001121), we get a palindrome (121522225121).

The spelling of 121100224000 in words is "one hundred twenty-one billion, one hundred million, two hundred twenty-four thousand".