121302445440 has 256 divisors, whose sum is σ = 424001433600. Its totient is φ = 29253304320.

The previous prime is 121302445421. The next prime is 121302445477. The reversal of 121302445440 is 44544203121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 121302445398 and 121302445407.

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, 4061281 + ... + 4091039.

It is an arithmetic number, because the mean of its divisors is an integer number (1656255600).

Almost surely, 2^121302445440 is an apocalyptic number.

121302445440 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 121302445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212000716800).

121302445440 is an abundant number, since it is smaller than the sum of its proper divisors (302698988160).

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

121302445440 is a wasteful number, since it uses less digits than its factorization.

121302445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29985 (or 29973 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 121302445440 its reverse (44544203121), we get a palindrome (165846648561).

The spelling of 121302445440 in words is "one hundred twenty-one billion, three hundred two million, four hundred forty-five thousand, four hundred forty".