121601885040 has 240 divisors, whose sum is σ = 441919715328. Its totient is φ = 31017178368.

The previous prime is 121601885011. The next prime is 121601885081. The reversal of 121601885040 is 40588106121.

121601885040 is a `hidden beast` number, since 1 + 2 + 1 + 601 + 8 + 8 + 5 + 0 + 40 = 666.

121601885040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 121601884986 and 121601885004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311137 + ... + 583103.

Almost surely, 2^121601885040 is an apocalyptic number.

121601885040 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 121601885040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220959857664).

121601885040 is an abundant number, since it is smaller than the sum of its proper divisors (320317830288).

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

121601885040 is a wasteful number, since it uses less digits than its factorization.

121601885040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272018 (or 272000 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 121601885040 in words is "one hundred twenty-one billion, six hundred one million, eight hundred eighty-five thousand, forty".