121291090440 has 192 divisors, whose sum is σ = 394339233600. Its totient is φ = 29831832576.

The previous prime is 121291090379. The next prime is 121291090463. The reversal of 121291090440 is 44090192121.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47433642 + ... + 47436198.

It is an arithmetic number, because the mean of its divisors is an integer number (2053850175).

Almost surely, 2^121291090440 is an apocalyptic number.

121291090440 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 121291090440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197169616800).

121291090440 is an abundant number, since it is smaller than the sum of its proper divisors (273048143160).

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

121291090440 is a wasteful number, since it uses less digits than its factorization.

121291090440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4936 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 121291090440 in words is "one hundred twenty-one billion, two hundred ninety-one million, ninety thousand, four hundred forty".