121110011110000 has 800 divisors, whose sum is σ = 331213396985856. Its totient is φ = 42505344000000.

The previous prime is 121110011109961. The next prime is 121110011110003. The reversal of 121110011110000 is 11110011121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121110011110003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 240775369749 + ... + 240775370251.

Almost surely, 2^{121110011110000} is an apocalyptic number.

121110011110000 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 121110011110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165606698492928).

121110011110000 is an abundant number, since it is smaller than the sum of its proper divisors (210103385875856).

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

121110011110000 is a wasteful number, since it uses less digits than its factorization.

121110011110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 121110011110000 its reverse (11110011121), we get a palindrome (121121121121121).

The spelling of 121110011110000 in words is "one hundred twenty-one trillion, one hundred ten billion, eleven million, one hundred ten thousand".