121223011200 has 192 divisors, whose sum is σ = 410070799920. Its totient is φ = 31452364800.

The previous prime is 121223011193. The next prime is 121223011241. The reversal of 121223011200 is 2110322121.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×121223011200³ (a number of 34 digits) contains 333 as substring.

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 121223011200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184560 + ... + 525840.

Almost surely, 2^121223011200 is an apocalyptic number.

121223011200 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 121223011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205035399960).

121223011200 is an abundant number, since it is smaller than the sum of its proper divisors (288847788720).

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

121223011200 is a wasteful number, since it uses less digits than its factorization.

121223011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341345 (or 341328 counting only the distinct ones).

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

Adding to 121223011200 its reverse (2110322121), we get a palindrome (123333333321).

The spelling of 121223011200 in words is "one hundred twenty-one billion, two hundred twenty-three million, eleven thousand, two hundred".