211152401124 has 240 divisors, whose sum is σ = 604826697216. Its totient is φ = 57255206400.

The previous prime is 211152401101. The next prime is 211152401129. The reversal of 211152401124 is 421104251112.

211152401124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211152401094 and 211152401103.

It is not an unprimeable number, because it can be changed into a prime (211152401129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43705389 + ... + 43710219.

Almost surely, 2^211152401124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211152401124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302413348608).

211152401124 is an abundant number, since it is smaller than the sum of its proper divisors (393674296092).

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

211152401124 is a wasteful number, since it uses less digits than its factorization.

211152401124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4944 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

Adding to 211152401124 its reverse (421104251112), we get a palindrome (632256652236).

The spelling of 211152401124 in words is "two hundred eleven billion, one hundred fifty-two million, four hundred one thousand, one hundred twenty-four".