211211202001120 has 48 divisors (see below), whose sum is σ = 499074736184640. Its totient is φ = 84469535368704.

The previous prime is 211211202001109. The next prime is 211211202001147. The reversal of 211211202001120 is 21100202112112.

It is a super-2 number, since 2×211211202001120² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 211211202001094 and 211211202001103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115853880 + ... + 117662839.

It is an arithmetic number, because the mean of its divisors is an integer number (10397390337180).

Almost surely, 2^{211211202001120} is an apocalyptic number.

211211202001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211202001120 is an abundant number, since it is smaller than the sum of its proper divisors (287863534183520).

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

211211202001120 is a wasteful number, since it uses less digits than its factorization.

211211202001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233522387 (or 233522379 counting only the distinct ones).

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

Adding to 211211202001120 its reverse (21100202112112), we get a palindrome (232311404113232).

The spelling of 211211202001120 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred two million, one thousand, one hundred twenty".