121011122010012 has 192 divisors, whose sum is σ = 312847682531328. Its totient is φ = 36168560640000.

The previous prime is 121011122010007. The next prime is 121011122010029. The reversal of 121011122010012 is 210010221110121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121011122009973 and 121011122010000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2775017113 + ... + 2775060719.

It is an arithmetic number, because the mean of its divisors is an integer number (1629415013184).

Almost surely, 2^{121011122010012} is an apocalyptic number.

121011122010012 is a gapful number since it is divisible by the number (12) 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 121011122010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156423841265664).

121011122010012 is an abundant number, since it is smaller than the sum of its proper divisors (191836560521316).

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

121011122010012 is a wasteful number, since it uses less digits than its factorization.

121011122010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45540 (or 45538 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121011122010012 its reverse (210010221110121), we get a palindrome (331021343120133).

The spelling of 121011122010012 in words is "one hundred twenty-one trillion, eleven billion, one hundred twenty-two million, ten thousand, twelve".