12120022143216 has 320 divisors, whose sum is σ = 38904597863040. Its totient is φ = 3588436131840.

The previous prime is 12120022143199. The next prime is 12120022143217. The reversal of 12120022143216 is 61234122002121.

12120022143216 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 0 + 0 + 221 + 432 + 1 + 6 = 666.

It is a super-4 number, since 4×12120022143216⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12120022143216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120022143217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16448160 + ... + 17169216.

It is an arithmetic number, because the mean of its divisors is an integer number (121576868322).

Almost surely, 2^{12120022143216} is an apocalyptic number.

12120022143216 is a gapful number since it is divisible by the number (16) 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 12120022143216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19452298931520).

12120022143216 is an abundant number, since it is smaller than the sum of its proper divisors (26784575719824).

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

12120022143216 is a wasteful number, since it uses less digits than its factorization.

12120022143216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721201 (or 721189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 12120022143216 its reverse (61234122002121), we get a palindrome (73354144145337).

The spelling of 12120022143216 in words is "twelve trillion, one hundred twenty billion, twenty-two million, one hundred forty-three thousand, two hundred sixteen".