211213123200 has 144 divisors (see below), whose sum is σ = 753656929350. Its totient is φ = 56323491840.

The previous prime is 211213123183. The next prime is 211213123201. The reversal of 211213123200 is 2321312112.

211213123200 is a `hidden beast` number, since 2 + 11 + 21 + 312 + 320 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 190773274176 + 20439849024 = 436776^2 + 142968^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×211213123200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211213123201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3638095 + ... + 3695694.

Almost surely, 2^211213123200 is an apocalyptic number.

211213123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211213123200 is an abundant number, since it is smaller than the sum of its proper divisors (542443806150).

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

211213123200 is a wasteful number, since it uses less digits than its factorization.

211213123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333819 (or 7333799 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211213123200 its reverse (2321312112), we get a palindrome (213534435312).

The spelling of 211213123200 in words is "two hundred eleven billion, two hundred thirteen million, one hundred twenty-three thousand, two hundred".