1206875013120 has 840 divisors, whose sum is σ = 4964725820544. Its totient is φ = 275761594368.

The previous prime is 1206875013103. The next prime is 1206875013133. The reversal of 1206875013120 is 213105786021.

1206875013120 is a `hidden beast` number, since 1 + 20 + 6 + 8 + 7 + 501 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 418036317 + ... + 418039203.

Almost surely, 2^{1206875013120} is an apocalyptic number.

1206875013120 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 1206875013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482362910272).

1206875013120 is an abundant number, since it is smaller than the sum of its proper divisors (3757850807424).

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

1206875013120 is an frugal number, since it uses more digits than its factorization.

1206875013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1206875013120 in words is "one trillion, two hundred six billion, eight hundred seventy-five million, thirteen thousand, one hundred twenty".