121301001000 has 768 divisors, whose sum is σ = 453419104320. Its totient is φ = 29122560000.

The previous prime is 121301000993. The next prime is 121301001023. The reversal of 121301001000 is 100103121.

It can be written as a sum of positive squares in 32 ways, for example, as 113546085156 + 7754915844 = 336966^2 + 88062^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 382652842 + ... + 382653158.

Almost surely, 2^121301001000 is an apocalyptic number.

121301001000 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 121301001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226709552160).

121301001000 is an abundant number, since it is smaller than the sum of its proper divisors (332118103320).

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

121301001000 is a wasteful number, since it uses less digits than its factorization.

121301001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 121301001000 its reverse (100103121), we get a palindrome (121401104121).

The spelling of 121301001000 in words is "one hundred twenty-one billion, three hundred one million, one thousand".