123833001264 has 640 divisors, whose sum is σ = 421317033984. Its totient is φ = 30523392000.

The previous prime is 123833001203. The next prime is 123833001307. The reversal of 123833001264 is 462100338321.

It is a super-2 number, since 2×123833001264² (a number of 23 digits) contains 22 as substring.

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, 268617994 + ... + 268618454.

Almost surely, 2^123833001264 is an apocalyptic number.

123833001264 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 123833001264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210658516992).

123833001264 is an abundant number, since it is smaller than the sum of its proper divisors (297484032720).

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

123833001264 is a wasteful number, since it uses less digits than its factorization.

123833001264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 123833001264 its reverse (462100338321), we get a palindrome (585933339585).

The spelling of 123833001264 in words is "one hundred twenty-three billion, eight hundred thirty-three million, one thousand, two hundred sixty-four".