16606121001210 has 384 divisors, whose sum is σ = 50393014963200. Its totient is φ = 3756873351168.

The previous prime is 16606121001167. The next prime is 16606121001241. The reversal of 16606121001210 is 1210012160661.

16606121001210 is a `hidden beast` number, since 16 + 6 + 0 + 612 + 10 + 0 + 1 + 21 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 419718889 + ... + 419758451.

It is an arithmetic number, because the mean of its divisors is an integer number (131231809800).

Almost surely, 2^{16606121001210} is an apocalyptic number.

16606121001210 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 16606121001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25196507481600).

16606121001210 is an abundant number, since it is smaller than the sum of its proper divisors (33786893961990).

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

16606121001210 is a wasteful number, since it uses less digits than its factorization.

16606121001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40102 (or 40099 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 16606121001210 its reverse (1210012160661), we get a palindrome (17816133161871).

It can be divided in two parts, 166061 and 21001210, that added together give a triangular number (21167271 = T₆₅₀₆).

The spelling of 16606121001210 in words is "sixteen trillion, six hundred six billion, one hundred twenty-one million, one thousand, two hundred ten".