121280935776000 has 1152 divisors, whose sum is σ = 540869299955712. Its totient is φ = 23262658560000.

The previous prime is 121280935775969. The next prime is 121280935776001. The reversal of 121280935776000 is 677539082121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121280935776001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95464960 + ... + 96727040.

It is an arithmetic number, because the mean of its divisors is an integer number (469504600656).

Almost surely, 2^{121280935776000} is an apocalyptic number.

121280935776000 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 121280935776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270434649977856).

121280935776000 is an abundant number, since it is smaller than the sum of its proper divisors (419588364179712).

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

121280935776000 is a wasteful number, since it uses less digits than its factorization.

121280935776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262146 (or 1262122 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 121280935776000 in words is "one hundred twenty-one trillion, two hundred eighty billion, nine hundred thirty-five million, seven hundred seventy-six thousand".