1233310404000 has 96 divisors (see below), whose sum is σ = 4040324922816. Its totient is φ = 328882771200.

The previous prime is 1233310403993. The next prime is 1233310404013. The reversal of 1233310404000 is 4040133321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1233310404000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51375934 + ... + 51399933.

It is an arithmetic number, because the mean of its divisors is an integer number (42086717946).

Almost surely, 2^{1233310404000} is an apocalyptic number.

1233310404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1233310404000 is an abundant number, since it is smaller than the sum of its proper divisors (2807014518816).

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

1233310404000 is a wasteful number, since it uses less digits than its factorization.

1233310404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102775895 (or 102775877 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1233310404000 its reverse (4040133321), we get a palindrome (1237350537321).

The spelling of 1233310404000 in words is "one trillion, two hundred thirty-three billion, three hundred ten million, four hundred four thousand".