121123101133200 has 480 divisors, whose sum is σ = 411156098896896. Its totient is φ = 30415813908480.

The previous prime is 121123101133193. The next prime is 121123101133241. The reversal of 121123101133200 is 2331101321121.

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, 3230533654 + ... + 3230571146.

Almost surely, 2^{121123101133200} is an apocalyptic number.

121123101133200 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 121123101133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205578049448448).

121123101133200 is an abundant number, since it is smaller than the sum of its proper divisors (290032997763696).

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

121123101133200 is a wasteful number, since it uses less digits than its factorization.

121123101133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39351 (or 39340 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 121123101133200 its reverse (2331101321121), we get a palindrome (123454202454321).

The spelling of 121123101133200 in words is "one hundred twenty-one trillion, one hundred twenty-three billion, one hundred one million, one hundred thirty-three thousand, two hundred".