121013331012032 has 112 divisors (see below), whose sum is σ = 247209150935040. Its totient is φ = 58756276620288.

The previous prime is 121013331012029. The next prime is 121013331012037. The reversal of 121013331012032 is 230210133310121.

It is a junction number, because it is equal to n+sod(n) for n = 121013331011989 and 121013331012007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121013331012037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92934938 + ... + 94228070.

It is an arithmetic number, because the mean of its divisors is an integer number (2207224561920).

Almost surely, 2^{121013331012032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121013331012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123604575467520).

121013331012032 is an abundant number, since it is smaller than the sum of its proper divisors (126195819923008).

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

121013331012032 is a wasteful number, since it uses less digits than its factorization.

121013331012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293530 (or 1293520 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 121013331012032 its reverse (230210133310121), we get a palindrome (351223464322153).

The spelling of 121013331012032 in words is "one hundred twenty-one trillion, thirteen billion, three hundred thirty-one million, twelve thousand, thirty-two".