1200427166070 has 1152 divisors, whose sum is σ = 3983361048576. Its totient is φ = 258660864000.

The previous prime is 1200427166011. The next prime is 1200427166093. The reversal of 1200427166070 is 706617240021.

1200427166070 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 42 + 7 + 1 + 6 + 607 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9452182347 + ... + 9452182473.

It is an arithmetic number, because the mean of its divisors is an integer number (3457778688).

Almost surely, 2^{1200427166070} is an apocalyptic number.

1200427166070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200427166070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991680524288).

1200427166070 is an abundant number, since it is smaller than the sum of its proper divisors (2782933882506).

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

1200427166070 is a wasteful number, since it uses less digits than its factorization.

1200427166070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1200427166070 in words is "one trillion, two hundred billion, four hundred twenty-seven million, one hundred sixty-six thousand, seventy".