211211323413400 has 96 divisors (see below), whose sum is σ = 492291986921280. Its totient is φ = 84273920640000.

The previous prime is 211211323413329. The next prime is 211211323413407. The reversal of 211211323413400 is 4314323112112.

It is a super-2 number, since 2×211211323413400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211323413407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130563505 + ... + 132171295.

It is an arithmetic number, because the mean of its divisors is an integer number (5128041530430).

Almost surely, 2^{211211323413400} is an apocalyptic number.

211211323413400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211323413400 is an abundant number, since it is smaller than the sum of its proper divisors (281080663507880).

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

211211323413400 is a wasteful number, since it uses less digits than its factorization.

211211323413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609445 (or 1609436 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 211211323413400 its reverse (4314323112112), we get a palindrome (215525646525512).

The spelling of 211211323413400 in words is "two hundred eleven trillion, two hundred eleven billion, three hundred twenty-three million, four hundred thirteen thousand, four hundred".