121211013312032 has 192 divisors, whose sum is σ = 289317467174400. Its totient is φ = 48894221967360.

The previous prime is 121211013311977. The next prime is 121211013312041. The reversal of 121211013312032 is 230213310112121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121211013311989 and 121211013312007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39571778 + ... + 42524670.

It is an arithmetic number, because the mean of its divisors is an integer number (1506861808200).

Almost surely, 2^{121211013312032} 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 121211013312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144658733587200).

121211013312032 is an abundant number, since it is smaller than the sum of its proper divisors (168106453862368).

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

121211013312032 is a wasteful number, since it uses less digits than its factorization.

121211013312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953099 (or 2953091 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 121211013312032 its reverse (230213310112121), we get a palindrome (351424323424153).

The spelling of 121211013312032 in words is "one hundred twenty-one trillion, two hundred eleven billion, thirteen million, three hundred twelve thousand, thirty-two".