12212655840 has 1728 divisors, whose sum is σ = 60232273920. Its totient is φ = 2189721600.

The previous prime is 12212655799. The next prime is 12212655881. The reversal of 12212655840 is 4855621221.

12212655840 is a `hidden beast` number, since 1 + 2 + 2 + 12 + 65 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12212655799) and next prime (12212655881).

It is a super-2 number, since 2×12212655840² (a number of 21 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 = 12212655795 and 12212655804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 393956625 + ... + 393956655.

It is an arithmetic number, because the mean of its divisors is an integer number (34856640).

Almost surely, 2^12212655840 is an apocalyptic number.

12212655840 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 12212655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30116136960).

12212655840 is an abundant number, since it is smaller than the sum of its proper divisors (48019618080).

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

12212655840 is a wasteful number, since it uses less digits than its factorization.

12212655840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12212655840 in words is "twelve billion, two hundred twelve million, six hundred fifty-five thousand, eight hundred forty".