121170677760 has 624 divisors, whose sum is σ = 473759576640. Its totient is φ = 29358489600.

The previous prime is 121170677743. The next prime is 121170677773. The reversal of 121170677760 is 67776071121.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66907255 + ... + 66909065.

Almost surely, 2^121170677760 is an apocalyptic number.

121170677760 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 121170677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236879788320).

121170677760 is an abundant number, since it is smaller than the sum of its proper divisors (352588898880).

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

121170677760 is a wasteful number, since it uses less digits than its factorization.

121170677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The spelling of 121170677760 in words is "one hundred twenty-one billion, one hundred seventy million, six hundred seventy-seven thousand, seven hundred sixty".