1233523202340 has 288 divisors, whose sum is σ = 4257381897216. Its totient is φ = 264031173120.

The previous prime is 1233523202311. The next prime is 1233523202399. The reversal of 1233523202340 is 432023253321.

It is a happy number.

It is a super-2 number, since 2×1233523202340² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1233523202298 and 1233523202307.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2325007 + ... + 2805833.

It is an arithmetic number, because the mean of its divisors is an integer number (14782576032).

Almost surely, 2^{1233523202340} is an apocalyptic number.

1233523202340 is a gapful number since it is divisible by the number (10) 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 1233523202340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128690948608).

1233523202340 is an abundant number, since it is smaller than the sum of its proper divisors (3023858694876).

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

1233523202340 is a wasteful number, since it uses less digits than its factorization.

1233523202340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480899 (or 480884 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 1233523202340 its reverse (432023253321), we get a palindrome (1665546455661).

The spelling of 1233523202340 in words is "one trillion, two hundred thirty-three billion, five hundred twenty-three million, two hundred two thousand, three hundred forty".