121001042000 has 80 divisors (see below), whose sum is σ = 293669485200. Its totient is φ = 48220275200.

The previous prime is 121001041991. The next prime is 121001042017. The reversal of 121001042000 is 240100121.

It can be written as a sum of positive squares in 8 ways, for example, as 89047334464 + 31953707536 = 298408^2 + 178756^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425546 + ... + 650454.

It is an arithmetic number, because the mean of its divisors is an integer number (3670868565).

Almost surely, 2^121001042000 is an apocalyptic number.

121001042000 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 121001042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146834742600).

121001042000 is an abundant number, since it is smaller than the sum of its proper divisors (172668443200).

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

121001042000 is a wasteful number, since it uses less digits than its factorization.

121001042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225201 (or 225185 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 121001042000 its reverse (240100121), we get a palindrome (121241142121).

The spelling of 121001042000 in words is "one hundred twenty-one billion, one million, forty-two thousand".