12023401017264 has 640 divisors, whose sum is σ = 42049575321600. Its totient is φ = 2869411184640.

The previous prime is 12023401017223. The next prime is 12023401017301. The reversal of 12023401017264 is 46271010432021.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1467875409 + ... + 1467883599.

It is an arithmetic number, because the mean of its divisors is an integer number (65702461440).

Almost surely, 2^{12023401017264} is an apocalyptic number.

12023401017264 is a gapful number since it is divisible by the number (14) 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 12023401017264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21024787660800).

12023401017264 is an abundant number, since it is smaller than the sum of its proper divisors (30026174304336).

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

12023401017264 is a wasteful number, since it uses less digits than its factorization.

12023401017264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9033 (or 9027 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 12023401017264 its reverse (46271010432021), we get a palindrome (58294411449285).

The spelling of 12023401017264 in words is "twelve trillion, twenty-three billion, four hundred one million, seventeen thousand, two hundred sixty-four".