12260055306240 has 1248 divisors, whose sum is σ = 52317588750336. Its totient is φ = 2593798225920.

The previous prime is 12260055306211. The next prime is 12260055306251. The reversal of 12260055306240 is 4260355006221.

12260055306240 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 0 + 0 + 553 + 0 + 62 + 40 = 666.

It is a super-2 number, since 2×12260055306240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12260055306195 and 12260055306204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 919934457 + ... + 919947783.

It is an arithmetic number, because the mean of its divisors is an integer number (41921144832).

Almost surely, 2^{12260055306240} is an apocalyptic number.

12260055306240 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 12260055306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26158794375168).

12260055306240 is an abundant number, since it is smaller than the sum of its proper divisors (40057533444096).

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

12260055306240 is a wasteful number, since it uses less digits than its factorization.

12260055306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13423 (or 13398 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 12260055306240 in words is "twelve trillion, two hundred sixty billion, fifty-five million, three hundred six thousand, two hundred forty".