211100144000120 has 64 divisors (see below), whose sum is σ = 511614374307840. Its totient is φ = 78163307164800.

The previous prime is 211100144000087. The next prime is 211100144000131. The reversal of 211100144000120 is 21000441001112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3700885646 + ... + 3700942685.

It is an arithmetic number, because the mean of its divisors is an integer number (7993974598560).

Almost surely, 2^{211100144000120} is an apocalyptic number.

211100144000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100144000120 is an abundant number, since it is smaller than the sum of its proper divisors (300514230307720).

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

211100144000120 is a wasteful number, since it uses less digits than its factorization.

211100144000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7401828396 (or 7401828392 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211100144000120 its reverse (21000441001112), we get a palindrome (232100585001232).

The spelling of 211100144000120 in words is "two hundred eleven trillion, one hundred billion, one hundred forty-four million, one hundred twenty", and thus it is an aban number.