121121320221000 has 768 divisors, whose sum is σ = 479119292870400. Its totient is φ = 28350217728000.

The previous prime is 121121320220993. The next prime is 121121320221019. The reversal of 121121320221000 is 122023121121.

121121320221000 is a `hidden beast` number, since 1 + 2 + 1 + 121 + 320 + 221 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76735744 + ... + 78298256.

It is an arithmetic number, because the mean of its divisors is an integer number (623853245925).

Almost surely, 2^{121121320221000} is an apocalyptic number.

121121320221000 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 121121320221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239559646435200).

121121320221000 is an abundant number, since it is smaller than the sum of its proper divisors (357997972649400).

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

121121320221000 is a wasteful number, since it uses less digits than its factorization.

121121320221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562589 (or 1562563 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121121320221000 its reverse (122023121121), we get a palindrome (121243343342121).

The spelling of 121121320221000 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, three hundred twenty million, two hundred twenty-one thousand".