121221022001000 has 256 divisors, whose sum is σ = 301919169726720. Its totient is φ = 45397017600000.

The previous prime is 121221022000951. The next prime is 121221022001021. The reversal of 121221022001000 is 100220122121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4321436975 + ... + 4321465025.

It is an arithmetic number, because the mean of its divisors is an integer number (1179371756745).

Almost surely, 2^{121221022001000} is an apocalyptic number.

121221022001000 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 121221022001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150959584863360).

121221022001000 is an abundant number, since it is smaller than the sum of its proper divisors (180698147725720).

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

121221022001000 is a wasteful number, since it uses less digits than its factorization.

121221022001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29413 (or 29399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 121221022001000 its reverse (100220122121), we get a palindrome (121321242123121).

The spelling of 121221022001000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-two million, one thousand".