12200708782080 has 1536 divisors, whose sum is σ = 53627857920000. Its totient is φ = 2562181300224.

The previous prime is 12200708782051. The next prime is 12200708782099. The reversal of 12200708782080 is 8028780700221.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6013162506 + ... + 6013164534.

It is an arithmetic number, because the mean of its divisors is an integer number (34913970000).

Almost surely, 2^{12200708782080} is an apocalyptic number.

12200708782080 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 12200708782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26813928960000).

12200708782080 is an abundant number, since it is smaller than the sum of its proper divisors (41427149137920).

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

12200708782080 is a wasteful number, since it uses less digits than its factorization.

12200708782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 12200708782080 in words is "twelve trillion, two hundred billion, seven hundred eight million, seven hundred eighty-two thousand, eighty".