211201112001120 has 96 divisors (see below), whose sum is σ = 665714667485952. Its totient is φ = 56283795820032.

The previous prime is 211201112001107. The next prime is 211201112001133. The reversal of 211201112001120 is 21100211102112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211201112001107) and next prime (211201112001133).

It is a tau number, because it is divible by the number of its divisors (96).

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 211201112001120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141839502 + ... + 143320781.

It is an arithmetic number, because the mean of its divisors is an integer number (6934527786312).

Almost surely, 2^{211201112001120} is an apocalyptic number.

211201112001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201112001120 is an abundant number, since it is smaller than the sum of its proper divisors (454513555484832).

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

211201112001120 is a wasteful number, since it uses less digits than its factorization.

211201112001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285161844 (or 285161836 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211201112001120 its reverse (21100211102112), we get a palindrome (232301323103232).

The spelling of 211201112001120 in words is "two hundred eleven trillion, two hundred one billion, one hundred twelve million, one thousand, one hundred twenty".