121321122231000 has 256 divisors, whose sum is σ = 389356740864000. Its totient is φ = 31436149171200.

The previous prime is 121321122230963. The next prime is 121321122231061. The reversal of 121321122231000 is 132221123121.

It is a super-2 number, since 2×121321122231000² (a number of 29 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, 16503916 + ... + 22694084.

It is an arithmetic number, because the mean of its divisors is an integer number (1520924769000).

Almost surely, 2^{121321122231000} is an apocalyptic number.

121321122231000 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 121321122231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194678370432000).

121321122231000 is an abundant number, since it is smaller than the sum of its proper divisors (268035618633000).

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

121321122231000 is a wasteful number, since it uses less digits than its factorization.

121321122231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190379 (or 6190365 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 121321122231000 its reverse (132221123121), we get a palindrome (121453343354121).

The spelling of 121321122231000 in words is "one hundred twenty-one trillion, three hundred twenty-one billion, one hundred twenty-two million, two hundred thirty-one thousand".