211121212212120 has 256 divisors, whose sum is σ = 740697130736640. Its totient is φ = 47132804210688.

The previous prime is 211121212212089. The next prime is 211121212212139. The reversal of 211121212212120 is 21212212121112.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2661029092 + ... + 2661108428.

It is an arithmetic number, because the mean of its divisors is an integer number (2893348166940).

Almost surely, 2^{211121212212120} is an apocalyptic number.

211121212212120 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 211121212212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370348565368320).

211121212212120 is an abundant number, since it is smaller than the sum of its proper divisors (529575918524520).

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

211121212212120 is a wasteful number, since it uses less digits than its factorization.

211121212212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153074 (or 153070 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 211121212212120 its reverse (21212212121112), we get a palindrome (232333424333232).

The spelling of 211121212212120 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty".