121123433200 has 180 divisors, whose sum is σ = 369283308552. Its totient is φ = 37752691200.

The previous prime is 121123433191. The next prime is 121123433209. The reversal of 121123433200 is 2334321121.

It is an interprime number because it is at equal distance from previous prime (121123433191) and next prime (121123433209).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121123433209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65299 + ... + 496498.

Almost surely, 2^121123433200 is an apocalyptic number.

121123433200 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 121123433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184641654276).

121123433200 is an abundant number, since it is smaller than the sum of its proper divisors (248159875352).

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

121123433200 is a wasteful number, since it uses less digits than its factorization.

121123433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561840 (or 561822 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 121123433200 its reverse (2334321121), we get a palindrome (123457754321).

The spelling of 121123433200 in words is "one hundred twenty-one billion, one hundred twenty-three million, four hundred thirty-three thousand, two hundred".