121089527460 has 288 divisors, whose sum is σ = 430606979712. Its totient is φ = 27215400960.

The previous prime is 121089527407. The next prime is 121089527467. The reversal of 121089527460 is 64725980121.

121089527460 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 89 + 527 + 46 + 0 = 666.

121089527460 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 (45).

It is not an unprimeable number, because it can be changed into a prime (121089527467) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2228374 + ... + 2282066.

It is an arithmetic number, because the mean of its divisors is an integer number (1495163124).

Almost surely, 2^121089527460 is an apocalyptic number.

121089527460 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 121089527460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215303489856).

121089527460 is an abundant number, since it is smaller than the sum of its proper divisors (309517452252).

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

121089527460 is a wasteful number, since it uses less digits than its factorization.

121089527460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53803 (or 53798 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 121089527460 in words is "one hundred twenty-one billion, eighty-nine million, five hundred twenty-seven thousand, four hundred sixty".