121085088 has 48 divisors (see below), whose sum is σ = 319991616. Its totient is φ = 40089600.

The previous prime is 121085077. The next prime is 121085099. The reversal of 121085088 is 880580121.

It is an interprime number because it is at equal distance from previous prime (121085077) and next prime (121085099).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10320 + ... + 18672.

It is an arithmetic number, because the mean of its divisors is an integer number (6666492).

Almost surely, 2^121085088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121085088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159995808).

121085088 is an abundant number, since it is smaller than the sum of its proper divisors (198906528).

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

121085088 is a wasteful number, since it uses less digits than its factorization.

121085088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8517 (or 8509 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 33.

The square root of 121085088 is about 11003.8669566657. The cubic root of 121085088 is about 494.7246545392.

The spelling of 121085088 in words is "one hundred twenty-one million, eighty-five thousand, eighty-eight".