121122103200 has 576 divisors, whose sum is σ = 497848135680. Its totient is φ = 24922275840.

The previous prime is 121122103187. The next prime is 121122103231. The reversal of 121122103200 is 2301221121.

121122103200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121122103200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6559581 + ... + 6578019.

It is an arithmetic number, because the mean of its divisors is an integer number (864319680).

Almost surely, 2^121122103200 is an apocalyptic number.

121122103200 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 121122103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248924067840).

121122103200 is an abundant number, since it is smaller than the sum of its proper divisors (376726032480).

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

121122103200 is a wasteful number, since it uses less digits than its factorization.

121122103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18509 (or 18496 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 121122103200 its reverse (2301221121), we get a palindrome (123423324321).

The spelling of 121122103200 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred three thousand, two hundred".