211121011121220 has 144 divisors (see below), whose sum is σ = 642971472212160. Its totient is φ = 56072921760000.

The previous prime is 211121011121219. The next prime is 211121011121231. The reversal of 211121011121220 is 22121110121112.

It is a happy number.

211121011121220 is a `hidden beast` number, since 2 + 111 + 210 + 1 + 1 + 121 + 220 = 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 = 211121011121193 and 211121011121202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283305790 + ... + 2283398250.

It is an arithmetic number, because the mean of its divisors is an integer number (4465079668140).

Almost surely, 2^{211121011121220} is an apocalyptic number.

211121011121220 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 211121011121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321485736106080).

211121011121220 is an abundant number, since it is smaller than the sum of its proper divisors (431850461090940).

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

211121011121220 is a wasteful number, since it uses less digits than its factorization.

211121011121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143266 (or 143261 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211121011121220 its reverse (22121110121112), we get a palindrome (233242121242332).

The spelling of 211121011121220 in words is "two hundred eleven trillion, one hundred twenty-one billion, eleven million, one hundred twenty-one thousand, two hundred twenty".