1206166132224 has 400 divisors, whose sum is σ = 3711452036688. Its totient is φ = 389759827968.

The previous prime is 1206166132187. The next prime is 1206166132229. The reversal of 1206166132224 is 4222316616021.

1206166132224 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 16 + 613 + 2 + 2 + 24 = 666.

It is a super-3 number, since 3×1206166132224³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206166132229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244309084 + ... + 244314020.

Almost surely, 2^{1206166132224} 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 1206166132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855726018344).

1206166132224 is an abundant number, since it is smaller than the sum of its proper divisors (2505285904464).

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

1206166132224 is an equidigital number, since it uses as much as digits as its factorization.

1206166132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1206166132224 in words is "one trillion, two hundred six billion, one hundred sixty-six million, one hundred thirty-two thousand, two hundred twenty-four".