12263884865120 has 384 divisors, whose sum is σ = 36657266688000. Its totient is φ = 3780242307072.

The previous prime is 12263884865047. The next prime is 12263884865149. The reversal of 12263884865120 is 2156848836221.

It is a super-2 number, since 2×12263884865120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62060231 + ... + 62257529.

It is an arithmetic number, because the mean of its divisors is an integer number (95461632000).

Almost surely, 2^{12263884865120} is an apocalyptic number.

12263884865120 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 12263884865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18328633344000).

12263884865120 is an abundant number, since it is smaller than the sum of its proper divisors (24393381822880).

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

12263884865120 is a wasteful number, since it uses less digits than its factorization.

12263884865120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197490 (or 197482 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 12263884865120 in words is "twelve trillion, two hundred sixty-three billion, eight hundred eighty-four million, eight hundred sixty-five thousand, one hundred twenty".