121102311011232 has 192 divisors, whose sum is σ = 337795710497280. Its totient is φ = 37916192047104.

The previous prime is 121102311011207. The next prime is 121102311011237. The reversal of 121102311011232 is 232110113201121.

It is a super-2 number, since 2×121102311011232² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121102311011199 and 121102311011208.

It is not an unprimeable number, because it can be changed into a prime (121102311011237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690374928 + ... + 690550320.

It is an arithmetic number, because the mean of its divisors is an integer number (1759352658840).

Almost surely, 2^{121102311011232} is an apocalyptic number.

121102311011232 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 121102311011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168897855248640).

121102311011232 is an abundant number, since it is smaller than the sum of its proper divisors (216693399486048).

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

121102311011232 is a wasteful number, since it uses less digits than its factorization.

121102311011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182175 (or 182167 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 121102311011232 its reverse (232110113201121), we get a palindrome (353212424212353).

The spelling of 121102311011232 in words is "one hundred twenty-one trillion, one hundred two billion, three hundred eleven million, eleven thousand, two hundred thirty-two".