212202000011220 has 192 divisors, whose sum is σ = 626740861824000. Its totient is φ = 53497241441280.

The previous prime is 212202000011161. The next prime is 212202000011263. The reversal of 212202000011220 is 22110000202212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212202000011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4097566167 + ... + 4097617953.

It is an arithmetic number, because the mean of its divisors is an integer number (3264275322000).

Almost surely, 2^{212202000011220} is an apocalyptic number.

212202000011220 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 212202000011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313370430912000).

212202000011220 is an abundant number, since it is smaller than the sum of its proper divisors (414538861812780).

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

212202000011220 is a wasteful number, since it uses less digits than its factorization.

212202000011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59238 (or 59236 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212202000011220 its reverse (22110000202212), we get a palindrome (234312000213432).

The spelling of 212202000011220 in words is "two hundred twelve trillion, two hundred two billion, eleven thousand, two hundred twenty".