121120212201200 has 120 divisors (see below), whose sum is σ = 295847173445520. Its totient is φ = 47640075724800.

The previous prime is 121120212201181. The next prime is 121120212201269. The reversal of 121120212201200 is 2102212021121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83878916 + ... + 85310684.

It is an arithmetic number, because the mean of its divisors is an integer number (2465393112046).

Almost surely, 2^{121120212201200} is an apocalyptic number.

121120212201200 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 121120212201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147923586722760).

121120212201200 is an abundant number, since it is smaller than the sum of its proper divisors (174726961244320).

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

121120212201200 is a wasteful number, since it uses less digits than its factorization.

121120212201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435315 (or 1435304 counting only the distinct ones).

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

Adding to 121120212201200 its reverse (2102212021121), we get a palindrome (123222424222321).

The spelling of 121120212201200 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred twelve million, two hundred one thousand, two hundred".