121741966080 has 648 divisors, whose sum is σ = 511342427232. Its totient is φ = 26614038528.

The previous prime is 121741965979. The next prime is 121741966097. The reversal of 121741966080 is 80669147121.

121741966080 is a `hidden beast` number, since 1 + 21 + 7 + 4 + 19 + 6 + 608 + 0 = 666.

It is a super-2 number, since 2×121741966080² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12978352 + ... + 12987728.

It is an arithmetic number, because the mean of its divisors is an integer number (789108684).

Almost surely, 2^121741966080 is an apocalyptic number.

121741966080 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 121741966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255671213616).

121741966080 is an abundant number, since it is smaller than the sum of its proper divisors (389600461152).

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

121741966080 is a wasteful number, since it uses less digits than its factorization.

121741966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9441 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 121741966080 in words is "one hundred twenty-one billion, seven hundred forty-one million, nine hundred sixty-six thousand, eighty".