121747770144000 has 9216 divisors, whose sum is σ = 658257739776000. Its totient is φ = 21319925760000.

The previous prime is 121747770143929. The next prime is 121747770144001. The reversal of 121747770144000 is 441077747121.

121747770144000 is a `hidden beast` number, since 1 + 2 + 1 + 74 + 77 + 70 + 1 + 440 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121747770144001) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 509404895881 + ... + 509404896119.

It is an arithmetic number, because the mean of its divisors is an integer number (71425536000).

Almost surely, 2^{121747770144000} is an apocalyptic number.

121747770144000 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 121747770144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329128869888000).

121747770144000 is an abundant number, since it is smaller than the sum of its proper divisors (536509969632000).

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

121747770144000 is a wasteful number, since it uses less digits than its factorization.

121747770144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 45.

The spelling of 121747770144000 in words is "one hundred twenty-one trillion, seven hundred forty-seven billion, seven hundred seventy million, one hundred forty-four thousand".