211141213400 has 96 divisors (see below), whose sum is σ = 529290446160. Its totient is φ = 77867619840.

The previous prime is 211141213357. The next prime is 211141213427. The reversal of 211141213400 is 4312141112.

It is a super-2 number, since 2×211141213400² (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 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, 2170199 + ... + 2265401.

Almost surely, 2^211141213400 is an apocalyptic number.

211141213400 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 211141213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264645223080).

211141213400 is an abundant number, since it is smaller than the sum of its proper divisors (318149232760).

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

211141213400 is a wasteful number, since it uses less digits than its factorization.

211141213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96085 (or 96076 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 211141213400 its reverse (4312141112), we get a palindrome (215453354512).

The spelling of 211141213400 in words is "two hundred eleven billion, one hundred forty-one million, two hundred thirteen thousand, four hundred".