121584090 has 16 divisors (see below), whose sum is σ = 291801888. Its totient is φ = 32422416.

The previous prime is 121584079. The next prime is 121584107. The reversal of 121584090 is 90485121.

It is a happy number.

It is a super-2 number, since 2×121584090² = 29565381882256200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 4052803 = 121584090 / (1 + 2 + 1 + 5 + 8 + 4 + 0 + 9 + 0).

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, 2026372 + ... + 2026431.

It is an arithmetic number, because the mean of its divisors is an integer number (18237618).

Almost surely, 2^121584090 is an apocalyptic number.

121584090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121584090 is an abundant number, since it is smaller than the sum of its proper divisors (170217798).

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

121584090 is a wasteful number, since it uses less digits than its factorization.

121584090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4052813.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 121584090 is about 11026.5175826278. The cubic root of 121584090 is about 495.4033239725.

The spelling of 121584090 in words is "one hundred twenty-one million, five hundred eighty-four thousand, ninety".