121012221211200 has 1008 divisors, whose sum is σ = 505228057888320. Its totient is φ = 27142619136000.

The previous prime is 121012221211181. The next prime is 121012221211223. The reversal of 121012221211200 is 2112122210121.

121012221211200 is a `hidden beast` number, since 1 + 21 + 0 + 12 + 221 + 211 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 158494360 + ... + 159256040.

Almost surely, 2^{121012221211200} is an apocalyptic number.

121012221211200 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 121012221211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252614028944160).

121012221211200 is an abundant number, since it is smaller than the sum of its proper divisors (384215836677120).

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

121012221211200 is a wasteful number, since it uses less digits than its factorization.

121012221211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761796 (or 761778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121012221211200 its reverse (2112122210121), we get a palindrome (123124343421321).

The spelling of 121012221211200 in words is "one hundred twenty-one trillion, twelve billion, two hundred twenty-one million, two hundred eleven thousand, two hundred".