121064253041040 has 160 divisors (see below), whose sum is σ = 379003077488640. Its totient is φ = 31965594236928.

The previous prime is 121064253040999. The next prime is 121064253041057. The reversal of 121064253041040 is 40140352460121.

It is a happy number.

121064253041040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121064253040992 and 121064253041010.

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, 36417969 + ... + 39602991.

It is an arithmetic number, because the mean of its divisors is an integer number (2368769234304).

Almost surely, 2^{121064253041040} is an apocalyptic number.

121064253041040 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 121064253041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189501538744320).

121064253041040 is an abundant number, since it is smaller than the sum of its proper divisors (257938824447600).

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

121064253041040 is a wasteful number, since it uses less digits than its factorization.

121064253041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186601 (or 3186595 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 121064253041040 in words is "one hundred twenty-one trillion, sixty-four billion, two hundred fifty-three million, forty-one thousand, forty".