233000132012120 has 384 divisors, whose sum is σ = 617318145017280. Its totient is φ = 78807945216000.

The previous prime is 233000132012107. The next prime is 233000132012147. The reversal of 233000132012120 is 21210231000332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233000132012092 and 233000132012101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4545697532 + ... + 4545748788.

Almost surely, 2^{233000132012120} is an apocalyptic number.

233000132012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233000132012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308659072508640).

233000132012120 is an abundant number, since it is smaller than the sum of its proper divisors (384318013005160).

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

233000132012120 is a wasteful number, since it uses less digits than its factorization.

233000132012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51955 (or 51940 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 233000132012120 its reverse (21210231000332), we get a palindrome (254210363012452).

The spelling of 233000132012120 in words is "two hundred thirty-three trillion, one hundred thirty-two million, twelve thousand, one hundred twenty".