211202112000000 has 1092 divisors, whose sum is σ = 773806663585424. Its totient is φ = 51194880000000.

The previous prime is 211202111999999. The next prime is 211202112000029. The reversal of 211202112000000 is 211202112.

It is a super-2 number, since 2×211202112000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 211202112000000.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 23231995455 + ... + 23232004545.

Almost surely, 2^{211202112000000} is an apocalyptic number.

211202112000000 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 211202112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386903331792712).

211202112000000 is an abundant number, since it is smaller than the sum of its proper divisors (562604551585424).

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

211202112000000 is an frugal number, since it uses more digits than its factorization.

211202112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211202112000000 its reverse (211202112), we get a palindrome (211202323202112).

211202112000000 divided by its reverse (211202112) gives a 6-th power (1000000 = 10⁶).

The spelling of 211202112000000 in words is "two hundred eleven trillion, two hundred two billion, one hundred twelve million", and thus it is an aban number.