121101311002320 has 240 divisors, whose sum is σ = 444257280035712. Its totient is φ = 29319110231040.

The previous prime is 121101311002303. The next prime is 121101311002339. The reversal of 121101311002320 is 23200113101121.

121101311002320 is a `hidden beast` number, since 1 + 2 + 110 + 131 + 100 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 121101311002293 and 121101311002302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4104012 + ... + 16094891.

Almost surely, 2^{121101311002320} is an apocalyptic number.

121101311002320 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 121101311002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222128640017856).

121101311002320 is an abundant number, since it is smaller than the sum of its proper divisors (323155969033392).

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

121101311002320 is a wasteful number, since it uses less digits than its factorization.

121101311002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20199690 (or 20199681 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121101311002320 its reverse (23200113101121), we get a palindrome (144301424103441).

The spelling of 121101311002320 in words is "one hundred twenty-one trillion, one hundred one billion, three hundred eleven million, two thousand, three hundred twenty".