211030020401200 has 480 divisors, whose sum is σ = 692264587230720. Its totient is φ = 59686839705600.

The previous prime is 211030020401191. The next prime is 211030020401219. The reversal of 211030020401200 is 2104020030112.

211030020401200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211030020401200² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19157092 + ... + 28090108.

It is an arithmetic number, because the mean of its divisors is an integer number (1442217890064).

Almost surely, 2^{211030020401200} is an apocalyptic number.

211030020401200 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 211030020401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346132293615360).

211030020401200 is an abundant number, since it is smaller than the sum of its proper divisors (481234566829520).

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

211030020401200 is a wasteful number, since it uses less digits than its factorization.

211030020401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8933125 (or 8933114 counting only the distinct ones).

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

Adding to 211030020401200 its reverse (2104020030112), we get a palindrome (213134040431312).

The spelling of 211030020401200 in words is "two hundred eleven trillion, thirty billion, twenty million, four hundred one thousand, two hundred".