12100233264 has 240 divisors, whose sum is σ = 37287827712. Its totient is φ = 3379993344.

The previous prime is 12100233251. The next prime is 12100233289. The reversal of 12100233264 is 46233200121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42756867 + ... + 42757149.

Almost surely, 2^12100233264 is an apocalyptic number.

12100233264 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 12100233264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643913856).

12100233264 is an abundant number, since it is smaller than the sum of its proper divisors (25187594448).

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

12100233264 is an frugal number, since it uses more digits than its factorization.

12100233264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12100233264 its reverse (46233200121), we get a palindrome (58333433385).

The spelling of 12100233264 in words is "twelve billion, one hundred million, two hundred thirty-three thousand, two hundred sixty-four".