121748882640 has 640 divisors, whose sum is σ = 496240238592. Its totient is φ = 23940956160.

The previous prime is 121748882639. The next prime is 121748882693. The reversal of 121748882640 is 46288847121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41227404 + ... + 41230356.

Almost surely, 2^121748882640 is an apocalyptic number.

121748882640 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 121748882640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248120119296).

121748882640 is an abundant number, since it is smaller than the sum of its proper divisors (374491355952).

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

121748882640 is a wasteful number, since it uses less digits than its factorization.

121748882640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 121748882640 in words is "one hundred twenty-one billion, seven hundred forty-eight million, eight hundred eighty-two thousand, six hundred forty".