121802408640 has 672 divisors, whose sum is σ = 477507873024. Its totient is φ = 29307432960.

The previous prime is 121802408597. The next prime is 121802408669. The reversal of 121802408640 is 46804208121.

121802408640 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 0 + 2 + 4 + 0 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121802408595 and 121802408604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134291067 + ... + 134291973.

It is an arithmetic number, because the mean of its divisors is an integer number (710577192).

Almost surely, 2^121802408640 is an apocalyptic number.

121802408640 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 121802408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238753936512).

121802408640 is an abundant number, since it is smaller than the sum of its proper divisors (355705464384).

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

121802408640 is a wasteful number, since it uses less digits than its factorization.

121802408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 121802408640 in words is "one hundred twenty-one billion, eight hundred two million, four hundred eight thousand, six hundred forty".