121017343680 has 672 divisors, whose sum is σ = 453445644288. Its totient is φ = 30680985600.

The previous prime is 121017343673. The next prime is 121017343691. The reversal of 121017343680 is 86343710121.

It is a happy number.

121017343680 is a `hidden beast` number, since 1 + 210 + 1 + 7 + 3 + 436 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147043749 + ... + 147044571.

It is an arithmetic number, because the mean of its divisors is an integer number (674770304).

Almost surely, 2^121017343680 is an apocalyptic number.

121017343680 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 121017343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226722822144).

121017343680 is an abundant number, since it is smaller than the sum of its proper divisors (332428300608).

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

121017343680 is an equidigital number, since it uses as much as digits as its factorization.

121017343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 121017343680 in words is "one hundred twenty-one billion, seventeen million, three hundred forty-three thousand, six hundred eighty".