121000001140 has 96 divisors (see below), whose sum is σ = 262350264960. Its totient is φ = 46848460800.

The previous prime is 121000001093. The next prime is 121000001201. The reversal of 121000001140 is 41100000121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 101424384 + ... + 101425576.

It is an arithmetic number, because the mean of its divisors is an integer number (2732815260).

Almost surely, 2^121000001140 is an apocalyptic number.

121000001140 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 121000001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131175132480).

121000001140 is an abundant number, since it is smaller than the sum of its proper divisors (141350263820).

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

121000001140 is a wasteful number, since it uses less digits than its factorization.

121000001140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 121000001140 its reverse (41100000121), we get a palindrome (162100001261).

The spelling of 121000001140 in words is "one hundred twenty-one billion, one thousand, one hundred forty".