211141213020 has 288 divisors, whose sum is σ = 677613081600. Its totient is φ = 53109838848.

The previous prime is 211141212983. The next prime is 211141213051. The reversal of 211141213020 is 20312141112.

It is a super-2 number, since 2×211141213020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211141212984 and 211141213002.

It is a congruent number.

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, 251657761 + ... + 251658599.

It is an arithmetic number, because the mean of its divisors is an integer number (2352823200).

Almost surely, 2^211141213020 is an apocalyptic number.

211141213020 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 211141213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338806540800).

211141213020 is an abundant number, since it is smaller than the sum of its proper divisors (466471868580).

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

211141213020 is a wasteful number, since it uses less digits than its factorization.

211141213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211141213020 its reverse (20312141112), we get a palindrome (231453354132).

The spelling of 211141213020 in words is "two hundred eleven billion, one hundred forty-one million, two hundred thirteen thousand, twenty".