211122213120 has 864 divisors, whose sum is σ = 923496467712. Its totient is φ = 43332599808.

The previous prime is 211122213089. The next prime is 211122213143. The reversal of 211122213120 is 21312221112.

211122213120 is a `hidden beast` number, since 21 + 112 + 221 + 312 + 0 = 666.

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 = 211122213093 and 211122213102.

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, 38785119 + ... + 38790561.

Almost surely, 2^211122213120 is an apocalyptic number.

211122213120 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 211122213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461748233856).

211122213120 is an abundant number, since it is smaller than the sum of its proper divisors (712374254592).

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

211122213120 is a wasteful number, since it uses less digits than its factorization.

211122213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5527 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211122213120 its reverse (21312221112), we get a palindrome (232434434232).

The spelling of 211122213120 in words is "two hundred eleven billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred twenty".