211201302400 has 192 divisors, whose sum is σ = 570914530560. Its totient is φ = 76564224000.

The previous prime is 211201302373. The next prime is 211201302427. The reversal of 211201302400 is 4203102112.

It is an interprime number because it is at equal distance from previous prime (211201302373) and next prime (211201302427).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11642137 + ... + 11660263.

It is an arithmetic number, because the mean of its divisors is an integer number (2973513180).

Almost surely, 2^211201302400 is an apocalyptic number.

211201302400 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 211201302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285457265280).

211201302400 is an abundant number, since it is smaller than the sum of its proper divisors (359713228160).

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

211201302400 is a wasteful number, since it uses less digits than its factorization.

211201302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18493 (or 18476 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 211201302400 its reverse (4203102112), we get a palindrome (215404404512).

The spelling of 211201302400 in words is "two hundred eleven billion, two hundred one million, three hundred two thousand, four hundred".