121296455280000 has 7680 divisors, whose sum is σ = 621323832729600. Its totient is φ = 21897216000000.

The previous prime is 121296455279963. The next prime is 121296455280047. The reversal of 121296455280000 is 82554692121.

121296455280000 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 96 + 4 + 552 + 8 + 0 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1362881519956 + ... + 1362881520044.

It is an arithmetic number, because the mean of its divisors is an integer number (80901540720).

Almost surely, 2^{121296455280000} is an apocalyptic number.

121296455280000 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 121296455280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310661916364800).

121296455280000 is an abundant number, since it is smaller than the sum of its proper divisors (500027377449600).

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

121296455280000 is a wasteful number, since it uses less digits than its factorization.

121296455280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 121296455280000 in words is "one hundred twenty-one trillion, two hundred ninety-six billion, four hundred fifty-five million, two hundred eighty thousand".