1206667116100 has 72 divisors (see below), whose sum is σ = 2716523397000. Its totient is φ = 464687462400.

The previous prime is 1206667116037. The next prime is 1206667116101. The reversal of 1206667116100 is 16117666021.

It can be written as a sum of positive squares in 12 ways, for example, as 535657116996 + 671009999104 = 731886^2 + 819152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1206667116100.

It is not an unprimeable number, because it can be changed into a prime (1206667116101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 415980 + ... + 1608220.

It is an arithmetic number, because the mean of its divisors is an integer number (37729491625).

Almost surely, 2^{1206667116100} is an apocalyptic number.

1206667116100 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 1206667116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358261698500).

1206667116100 is an abundant number, since it is smaller than the sum of its proper divisors (1509856280900).

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

1206667116100 is a wasteful number, since it uses less digits than its factorization.

1206667116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192633 (or 1192626 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 1206667116100 in words is "one trillion, two hundred six billion, six hundred sixty-seven million, one hundred sixteen thousand, one hundred".