121682888640 has 336 divisors, whose sum is σ = 452481513120. Its totient is φ = 29909606400.

The previous prime is 121682888611. The next prime is 121682888669. The reversal of 121682888640 is 46888286121.

121682888640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121682888611) and next prime (121682888669).

It is a congruent number.

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, 1994590 + ... + 2054690.

It is an arithmetic number, because the mean of its divisors is an integer number (1346671170).

Almost surely, 2^121682888640 is an apocalyptic number.

121682888640 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 121682888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226240756560).

121682888640 is an abundant number, since it is smaller than the sum of its proper divisors (330798624480).

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

121682888640 is a wasteful number, since it uses less digits than its factorization.

121682888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60180 (or 60167 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 121682888640 in words is "one hundred twenty-one billion, six hundred eighty-two million, eight hundred eighty-eight thousand, six hundred forty".