212200122011220 has 288 divisors, whose sum is σ = 743509121322240. Its totient is φ = 47984777809920.

The previous prime is 212200122011179. The next prime is 212200122011291. The reversal of 212200122011220 is 22110221002212.

It is a happy number.

212200122011220 is a `hidden beast` number, since 2 + 1 + 220 + 0 + 1 + 220 + 1 + 1 + 220 = 666.

212200122011220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212200122011193 and 212200122011202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75650151 + ... + 78405009.

It is an arithmetic number, because the mean of its divisors is an integer number (2581628893480).

Almost surely, 2^{212200122011220} is an apocalyptic number.

212200122011220 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 212200122011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371754560661120).

212200122011220 is an abundant number, since it is smaller than the sum of its proper divisors (531308999311020).

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

212200122011220 is a wasteful number, since it uses less digits than its factorization.

212200122011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755535 (or 2755530 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212200122011220 its reverse (22110221002212), we get a palindrome (234310343013432).

The spelling of 212200122011220 in words is "two hundred twelve trillion, two hundred billion, one hundred twenty-two million, eleven thousand, two hundred twenty".