121221331000 has 256 divisors, whose sum is σ = 354223134720. Its totient is φ = 37722240000.

The previous prime is 121221330949. The next prime is 121221331031. The reversal of 121221331000 is 133122121.

It is a super-2 number, since 2×121221331000² (a number of 23 digits) contains 22 as substring.

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, 81850260 + ... + 81851740.

It is an arithmetic number, because the mean of its divisors is an integer number (1383684120).

Almost surely, 2^121221331000 is an apocalyptic number.

121221331000 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 121221331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177111567360).

121221331000 is an abundant number, since it is smaller than the sum of its proper divisors (233001803720).

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

121221331000 is a wasteful number, since it uses less digits than its factorization.

121221331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 121221331000 its reverse (133122121), we get a palindrome (121354453121).

The spelling of 121221331000 in words is "one hundred twenty-one billion, two hundred twenty-one million, three hundred thirty-one thousand".