123123090321 has 189 divisors, whose sum is σ = 235656131529. Its totient is φ = 61896819600.

The previous prime is 123123090319. The next prime is 123123090347. The reversal of 123123090321 is 123090321321.

The square root of 123123090321 is 350889.

It is a perfect power (a square), and thus also a powerful number.

123123090321 is a `hidden beast` number, since 1 + 2 + 31 + 2 + 309 + 0 + 321 = 666.

It is not a de Polignac number, because 123123090321 - 2¹ = 123123090319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123123098321) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 3971712576 + ... + 3971712606.

Almost surely, 2^123123090321 is an apocalyptic number.

123123090321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123123090321 is the 350889-th square number.

123123090321 is the 175445-th centered octagonal number.

It is an amenable number.

123123090321 is a deficient number, since it is larger than the sum of its proper divisors (112533041208).

123123090321 is an frugal number, since it uses more digits than its factorization.

123123090321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 123123090321 in words is "one hundred twenty-three billion, one hundred twenty-three million, ninety thousand, three hundred twenty-one".