121488012051840 has 768 divisors, whose sum is σ = 497765436779520. Its totient is φ = 27737161703424.

The previous prime is 121488012051823. The next prime is 121488012051841. The reversal of 121488012051840 is 48150210884121.

121488012051840 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 8 + 8 + 0 + 120 + 518 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121488012051841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 965560774 + ... + 965686586.

It is an arithmetic number, because the mean of its divisors is an integer number (648132079140).

Almost surely, 2^{121488012051840} is an apocalyptic number.

121488012051840 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 121488012051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248882718389760).

121488012051840 is an abundant number, since it is smaller than the sum of its proper divisors (376277424727680).

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

121488012051840 is an equidigital number, since it uses as much as digits as its factorization.

121488012051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126741 (or 126717 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 121488012051840 in words is "one hundred twenty-one trillion, four hundred eighty-eight billion, twelve million, fifty-one thousand, eight hundred forty".