211121022112 has 384 divisors, whose sum is σ = 587962368000. Its totient is φ = 73461427200.

The previous prime is 211121022109. The next prime is 211121022149. The reversal of 211121022112 is 211220121112.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 48654439 + ... + 48658777.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152000).

Almost surely, 2^211121022112 is an apocalyptic number.

211121022112 is a gapful number since it is divisible by the number (22) 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 211121022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293981184000).

211121022112 is an abundant number, since it is smaller than the sum of its proper divisors (376841345888).

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

211121022112 is a wasteful number, since it uses less digits than its factorization.

211121022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4425 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211121022112 its reverse (211220121112), we get a palindrome (422341143224).

The spelling of 211121022112 in words is "two hundred eleven billion, one hundred twenty-one million, twenty-two thousand, one hundred twelve".