121528114560 has 512 divisors, whose sum is σ = 459675648000. Its totient is φ = 30276771840.

The previous prime is 121528114493. The next prime is 121528114573. The reversal of 121528114560 is 65411825121.

121528114560 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 2 + 81 + 14 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15530809 + ... + 15538631.

It is an arithmetic number, because the mean of its divisors is an integer number (897804000).

Almost surely, 2^121528114560 is an apocalyptic number.

121528114560 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 121528114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229837824000).

121528114560 is an abundant number, since it is smaller than the sum of its proper divisors (338147533440).

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

121528114560 is a wasteful number, since it uses less digits than its factorization.

121528114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 121528114560 its reverse (65411825121), we get a palindrome (186939939681).

The spelling of 121528114560 in words is "one hundred twenty-one billion, five hundred twenty-eight million, one hundred fourteen thousand, five hundred sixty".