121457088506880 has 1760 divisors, whose sum is σ = 520794215884800. Its totient is φ = 26464683294720.

The previous prime is 121457088506753. The next prime is 121457088506909. The reversal of 121457088506880 is 88605880754121.

121457088506880 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 570 + 8 + 8 + 50 + 6 + 8 + 8 + 0 = 666.

121457088506880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20765442196 + ... + 20765448044.

It is an arithmetic number, because the mean of its divisors is an integer number (295905804480).

Almost surely, 2^{121457088506880} is an apocalyptic number.

121457088506880 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 121457088506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260397107942400).

121457088506880 is an abundant number, since it is smaller than the sum of its proper divisors (399337127377920).

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

121457088506880 is a wasteful number, since it uses less digits than its factorization.

121457088506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6227 (or 6200 counting only the distinct ones).

The product of its (nonzero) digits is 34406400, while the sum is 63.

The spelling of 121457088506880 in words is "one hundred twenty-one trillion, four hundred fifty-seven billion, eighty-eight million, five hundred six thousand, eight hundred eighty".