121331221322000 has 320 divisors, whose sum is σ = 323476607600640. Its totient is φ = 43810421760000.

The previous prime is 121331221321993. The next prime is 121331221322023. The reversal of 121331221322000 is 223122133121.

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, 148478537 + ... + 149293463.

It is an arithmetic number, because the mean of its divisors is an integer number (1010864398752).

Almost surely, 2^{121331221322000} is an apocalyptic number.

121331221322000 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 121331221322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161738303800320).

121331221322000 is an abundant number, since it is smaller than the sum of its proper divisors (202145386278640).

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

121331221322000 is a wasteful number, since it uses less digits than its factorization.

121331221322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815147 (or 815131 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 121331221322000 its reverse (223122133121), we get a palindrome (121554343455121).

The spelling of 121331221322000 in words is "one hundred twenty-one trillion, three hundred thirty-one billion, two hundred twenty-one million, three hundred twenty-two thousand".