123117152490 has 96 divisors (see below), whose sum is σ = 323467784640. Its totient is φ = 32487858432.

The previous prime is 123117152467. The next prime is 123117152491. The reversal of 123117152490 is 94251711321.

It is a happy number.

123117152490 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 17 + 152 + 490 = 666.

It is not an unprimeable number, because it can be changed into a prime (123117152491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3824542 + ... + 3856598.

It is an arithmetic number, because the mean of its divisors is an integer number (3369456090).

Almost surely, 2^123117152490 is an apocalyptic number.

123117152490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123117152490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161733892320).

123117152490 is an abundant number, since it is smaller than the sum of its proper divisors (200350632150).

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

123117152490 is a wasteful number, since it uses less digits than its factorization.

123117152490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32516 (or 32513 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 123117152490 in words is "one hundred twenty-three billion, one hundred seventeen million, one hundred fifty-two thousand, four hundred ninety".