211111020120000 has 2240 divisors, whose sum is σ = 946484161717248. Its totient is φ = 40089600000000.

The previous prime is 211111020119999. The next prime is 211111020120031. The reversal of 211111020120000 is 21020111112.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×211111020120000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12132111300 + ... + 12132128700.

Almost surely, 2^{211111020120000} is an apocalyptic number.

211111020120000 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 211111020120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473242080858624).

211111020120000 is an abundant number, since it is smaller than the sum of its proper divisors (735373141597248).

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

211111020120000 is a wasteful number, since it uses less digits than its factorization.

211111020120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17568 (or 17543 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211111020120000 its reverse (21020111112), we get a palindrome (211132040231112).

The spelling of 211111020120000 in words is "two hundred eleven trillion, one hundred eleven billion, twenty million, one hundred twenty thousand".