121221200321000 has 96 divisors (see below), whose sum is σ = 307155872626200. Its totient is φ = 44758596979200.

The previous prime is 121221200320921. The next prime is 121221200321033. The reversal of 121221200321000 is 123002122121.

It can be written as a sum of positive squares in 12 ways, for example, as 44835103593604 + 76386096727396 = 6695902^2 + 8739914^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121221200321000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358473605 + ... + 358811604.

Almost surely, 2^{121221200321000} is an apocalyptic number.

121221200321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221200321000 is an abundant number, since it is smaller than the sum of its proper divisors (185934672305200).

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

121221200321000 is a wasteful number, since it uses less digits than its factorization.

121221200321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717285256 (or 717285229 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 121221200321000 its reverse (123002122121), we get a palindrome (121344202443121).

The spelling of 121221200321000 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, two hundred million, three hundred twenty-one thousand".