121015706676480 has 4032 divisors, whose sum is σ = 568460241216000. Its totient is φ = 24440159600640.

The previous prime is 121015706676463. The next prime is 121015706676481. The reversal of 121015706676480 is 84676607510121.

121015706676480 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 1 + 570 + 6 + 6 + 7 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121015706676481) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 130264484656 + ... + 130264485584.

It is an arithmetic number, because the mean of its divisors is an integer number (140987163000).

Almost surely, 2^{121015706676480} is an apocalyptic number.

121015706676480 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 121015706676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284230120608000).

121015706676480 is an abundant number, since it is smaller than the sum of its proper divisors (447444534539520).

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

121015706676480 is an frugal number, since it uses more digits than its factorization.

121015706676480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 121015706676480 in words is "one hundred twenty-one trillion, fifteen billion, seven hundred six million, six hundred seventy-six thousand, four hundred eighty".