211220314400 has 36 divisors (see below), whose sum is σ = 515641594482. Its totient is φ = 84488125440.

The previous prime is 211220314387. The next prime is 211220314427. The reversal of 211220314400 is 4413022112.

It can be written as a sum of positive squares in 3 ways, for example, as 206366684176 + 4853630224 = 454276^2 + 69668^2 .

It is a super-2 number, since 2×211220314400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 132011897 + ... + 132013496.

Almost surely, 2^211220314400 is an apocalyptic number.

211220314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220314400 is an abundant number, since it is smaller than the sum of its proper divisors (304421280082).

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

211220314400 is a wasteful number, since it uses less digits than its factorization.

211220314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264025413 (or 264025400 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211220314400 its reverse (4413022112), we get a palindrome (215633336512).

The spelling of 211220314400 in words is "two hundred eleven billion, two hundred twenty million, three hundred fourteen thousand, four hundred".