2212092180000 has 840 divisors, whose sum is σ = 8215906902588. Its totient is φ = 585812736000.

The previous prime is 2212092179993. The next prime is 2212092180101. The reversal of 2212092180000 is 812902122.

It can be written as a sum of positive squares in 10 ways, for example, as 46144195344 + 2165947984656 = 214812^2 + 1471716^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 2522339562 + ... + 2522340438.

Almost surely, 2^{2212092180000} is an apocalyptic number.

2212092180000 is a gapful number since it is divisible by the number (20) 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 2212092180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107953451294).

2212092180000 is an abundant number, since it is smaller than the sum of its proper divisors (6003814722588).

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

2212092180000 is an frugal number, since it uses more digits than its factorization.

2212092180000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 2212092180000 in words is "two trillion, two hundred twelve billion, ninety-two million, one hundred eighty thousand".