1206129893760 has 1152 divisors, whose sum is σ = 4865444064000. Its totient is φ = 272985292800.

The previous prime is 1206129893713. The next prime is 1206129893819. The reversal of 1206129893760 is 673989216021.

1206129893760 is a `hidden beast` number, since 1 + 206 + 1 + 298 + 93 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 1206129893697 and 1206129893706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3643896795 + ... + 3643897125.

It is an arithmetic number, because the mean of its divisors is an integer number (4223475750).

Almost surely, 2^{1206129893760} is an apocalyptic number.

1206129893760 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 1206129893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432722032000).

1206129893760 is an abundant number, since it is smaller than the sum of its proper divisors (3659314170240).

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

1206129893760 is a wasteful number, since it uses less digits than its factorization.

1206129893760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1206129893760 in words is "one trillion, two hundred six billion, one hundred twenty-nine million, eight hundred ninety-three thousand, seven hundred sixty".