121100121111200 has 648 divisors, whose sum is σ = 391952737856736. Its totient is φ = 35758815206400.

The previous prime is 121100121111157. The next prime is 121100121111251. The reversal of 121100121111200 is 2111121001121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 244366067 + ... + 244861133.

Almost surely, 2^{121100121111200} is an apocalyptic number.

121100121111200 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 121100121111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195976368928368).

121100121111200 is an abundant number, since it is smaller than the sum of its proper divisors (270852616745536).

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

121100121111200 is a wasteful number, since it uses less digits than its factorization.

121100121111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495154 (or 495111 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 121100121111200 its reverse (2111121001121), we get a palindrome (123211242112321).

The spelling of 121100121111200 in words is "one hundred twenty-one trillion, one hundred billion, one hundred twenty-one million, one hundred eleven thousand, two hundred".