121090464 has 240 divisors, whose sum is σ = 403958016. Its totient is φ = 35251200.

The previous prime is 121090447. The next prime is 121090481. The reversal of 121090464 is 464090121.

It is an interprime number because it is at equal distance from previous prime (121090447) and next prime (121090481).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883804 + ... + 883940.

Almost surely, 2^121090464 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 121090464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201979008).

121090464 is an abundant number, since it is smaller than the sum of its proper divisors (282867552).

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

121090464 is a wasteful number, since it uses less digits than its factorization.

121090464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 121090464 is about 11004.1112317170. Note that the first 3 decimals coincide. The cubic root of 121090464 is about 494.7319761135.

The spelling of 121090464 in words is "one hundred twenty-one million, ninety thousand, four hundred sixty-four".