211212104400 has 360 divisors, whose sum is σ = 803123998560. Its totient is φ = 50977152000.

The previous prime is 211212104399. The next prime is 211212104417. The reversal of 211212104400 is 4401212112.

211212104400 is a `hidden beast` number, since 2 + 1 + 1 + 212 + 10 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×211212104400² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9056755 + ... + 9080045.

It is an arithmetic number, because the mean of its divisors is an integer number (2230899996).

Almost surely, 2^211212104400 is an apocalyptic number.

211212104400 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 211212104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401561999280).

211212104400 is an abundant number, since it is smaller than the sum of its proper divisors (591911894160).

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

211212104400 is a wasteful number, since it uses less digits than its factorization.

211212104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23555 (or 23541 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211212104400 its reverse (4401212112), we get a palindrome (215613316512).

The spelling of 211212104400 in words is "two hundred eleven billion, two hundred twelve million, one hundred four thousand, four hundred".