123000213330 has 96 divisors (see below), whose sum is σ = 328587605424. Its totient is φ = 31899598848.

The previous prime is 123000213229. The next prime is 123000213331. The reversal of 123000213330 is 33312000321.

123000213330 is a `hidden beast` number, since 12 + 300 + 0 + 21 + 3 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 101332078929 + 21668134401 = 318327^2 + 147201^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (123000213331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9160782 + ... + 9174198.

Almost surely, 2^123000213330 is an apocalyptic number.

123000213330 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 123000213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164293802712).

123000213330 is an abundant number, since it is smaller than the sum of its proper divisors (205587392094).

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

123000213330 is a wasteful number, since it uses less digits than its factorization.

123000213330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16220 (or 16217 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 123000213330 its reverse (33312000321), we get a palindrome (156312213651).

The spelling of 123000213330 in words is "one hundred twenty-three billion, two hundred thirteen thousand, three hundred thirty".