121012120221200 has 480 divisors, whose sum is σ = 318318841352736. Its totient is φ = 43943964180480.

The previous prime is 121012120221193. The next prime is 121012120221281. The reversal of 121012120221200 is 2122021210121.

It can be written as a sum of positive squares in 48 ways, for example, as 105866978132224 + 15145142088976 = 10289168^2 + 3891676^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38575746032 + ... + 38575749168.

Almost surely, 2^{121012120221200} is an apocalyptic number.

121012120221200 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 121012120221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159159420676368).

121012120221200 is an abundant number, since it is smaller than the sum of its proper divisors (197306721131536).

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

121012120221200 is a wasteful number, since it uses less digits than its factorization.

121012120221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 121012120221200 its reverse (2122021210121), we get a palindrome (123134141431321).

The spelling of 121012120221200 in words is "one hundred twenty-one trillion, twelve billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".