211220121120 has 384 divisors, whose sum is σ = 722462146560. Its totient is φ = 51697336320.

The previous prime is 211220121109. The next prime is 211220121169. The reversal of 211220121120 is 21121022112.

It is a super-2 number, since 2×211220121120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211220121120.

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, 49802200 + ... + 49806440.

It is an arithmetic number, because the mean of its divisors is an integer number (1881411840).

Almost surely, 2^211220121120 is an apocalyptic number.

211220121120 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 211220121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361231073280).

211220121120 is an abundant number, since it is smaller than the sum of its proper divisors (511242025440).

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

211220121120 is a wasteful number, since it uses less digits than its factorization.

211220121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4448 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211220121120 its reverse (21121022112), we get a palindrome (232341143232).

The spelling of 211220121120 in words is "two hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twenty".