121780080576 has 672 divisors, whose sum is σ = 468884422656. Its totient is φ = 29272320000.

The previous prime is 121780080559. The next prime is 121780080593. The reversal of 121780080576 is 675080087121.

It is a happy number.

121780080576 is a `hidden beast` number, since 1 + 2 + 1 + 78 + 0 + 0 + 8 + 0 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (121780080559) and next prime (121780080593).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31621051 + ... + 31624901.

Almost surely, 2^121780080576 is an apocalyptic number.

121780080576 is a gapful number since it is divisible by the number (16) 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 121780080576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234442211328).

121780080576 is an abundant number, since it is smaller than the sum of its proper divisors (347104342080).

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

121780080576 is a wasteful number, since it uses less digits than its factorization.

121780080576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 121780080576 in words is "one hundred twenty-one billion, seven hundred eighty million, eighty thousand, five hundred seventy-six".