1206620135424 has 672 divisors, whose sum is σ = 3915814855680. Its totient is φ = 354926592000.

The previous prime is 1206620135417. The next prime is 1206620135431. The reversal of 1206620135424 is 4245310266021.

1206620135424 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 620 + 1 + 3 + 5 + 4 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1206620135417) and next prime (1206620135431).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7225270189 + ... + 7225270355.

It is an arithmetic number, because the mean of its divisors is an integer number (5827105440).

Almost surely, 2^{1206620135424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206620135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957907427840).

1206620135424 is an abundant number, since it is smaller than the sum of its proper divisors (2709194720256).

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

1206620135424 is a wasteful number, since it uses less digits than its factorization.

1206620135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1206620135424 in words is "one trillion, two hundred six billion, six hundred twenty million, one hundred thirty-five thousand, four hundred twenty-four".