121123200 has 384 divisors, whose sum is σ = 461399040. Its totient is φ = 27648000.

The previous prime is 121123193. The next prime is 121123229. The reversal of 121123200 is 2321121.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3273582 + ... + 3273618.

It is an arithmetic number, because the mean of its divisors is an integer number (1201560).

Almost surely, 2^121123200 is an apocalyptic number.

121123200 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 121123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230699520).

121123200 is an abundant number, since it is smaller than the sum of its proper divisors (340275840).

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

121123200 is a wasteful number, since it uses less digits than its factorization.

121123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 121123200 is about 11005.5985752707. The cubic root of 121123200 is about 494.7765545942.

Adding to 121123200 its reverse (2321121), we get a palindrome (123444321).

It can be divided in two parts, 121 and 123200, that added together give a palindrome (123321).

The spelling of 121123200 in words is "one hundred twenty-one million, one hundred twenty-three thousand, two hundred".