121340000640 has 256 divisors, whose sum is σ = 396459866880. Its totient is φ = 31549464576.

The previous prime is 121340000633. The next prime is 121340000659. The reversal of 121340000640 is 46000043121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70422819 + ... + 70424541.

It is an arithmetic number, because the mean of its divisors is an integer number (1548671355).

Almost surely, 2^121340000640 is an apocalyptic number.

121340000640 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 121340000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198229933440).

121340000640 is an abundant number, since it is smaller than the sum of its proper divisors (275119866240).

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

121340000640 is a wasteful number, since it uses less digits than its factorization.

121340000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 121340000640 its reverse (46000043121), we get a palindrome (167340043761).

The spelling of 121340000640 in words is "one hundred twenty-one billion, three hundred forty million, six hundred forty", and thus it is an aban number.