121311223330000 has 200 divisors, whose sum is σ = 320455343340000. Its totient is φ = 44106544320000.

The previous prime is 121311223329991. The next prime is 121311223330049. The reversal of 121311223330000 is 33322113121.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×121311223330000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 764090626 + ... + 764249374.

It is an arithmetic number, because the mean of its divisors is an integer number (1602276716700).

Almost surely, 2^{121311223330000} is an apocalyptic number.

121311223330000 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 121311223330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160227671670000).

121311223330000 is an abundant number, since it is smaller than the sum of its proper divisors (199144120010000).

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

121311223330000 is a wasteful number, since it uses less digits than its factorization.

121311223330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165735 (or 165714 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 121311223330000 its reverse (33322113121), we get a palindrome (121344545443121).

The spelling of 121311223330000 in words is "one hundred twenty-one trillion, three hundred eleven billion, two hundred twenty-three million, three hundred thirty thousand".