121834352640 has 1248 divisors, whose sum is σ = 534626701056. Its totient is φ = 23286251520.

The previous prime is 121834352639. The next prime is 121834352743. The reversal of 121834352640 is 46253438121.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 430509939 + ... + 430510221.

Almost surely, 2^121834352640 is an apocalyptic number.

121834352640 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 121834352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267313350528).

121834352640 is an abundant number, since it is smaller than the sum of its proper divisors (412792348416).

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

121834352640 is a wasteful number, since it uses less digits than its factorization.

121834352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

It can be divided in two parts, 121834 and 352640, that added together give a palindrome (474474).

The spelling of 121834352640 in words is "one hundred twenty-one billion, eight hundred thirty-four million, three hundred fifty-two thousand, six hundred forty".