211314222420 has 384 divisors, whose sum is σ = 736864665600. Its totient is φ = 44155238400.

The previous prime is 211314222311. The next prime is 211314222461. The reversal of 211314222420 is 24222413112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104145966 + ... + 104147994.

It is an arithmetic number, because the mean of its divisors is an integer number (1918918400).

Almost surely, 2^211314222420 is an apocalyptic number.

211314222420 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 211314222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368432332800).

211314222420 is an abundant number, since it is smaller than the sum of its proper divisors (525550443180).

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

211314222420 is a wasteful number, since it uses less digits than its factorization.

211314222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211314222420 its reverse (24222413112), we get a palindrome (235536635532).

The spelling of 211314222420 in words is "two hundred eleven billion, three hundred fourteen million, two hundred twenty-two thousand, four hundred twenty".