211233142032 has 80 divisors (see below), whose sum is σ = 596017947648. Its totient is φ = 63932135040.

The previous prime is 211233141989. The next prime is 211233142069. The reversal of 211233142032 is 230241332112.

211233142032 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 2×211233142032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 211233141993 and 211233142011.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 191493 + ... + 677595.

Almost surely, 2^211233142032 is an apocalyptic number.

211233142032 is a gapful number since it is divisible by the number (22) 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 211233142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298008973824).

211233142032 is an abundant number, since it is smaller than the sum of its proper divisors (384784805616).

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

211233142032 is a wasteful number, since it uses less digits than its factorization.

211233142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486948 (or 486942 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 211233142032 its reverse (230241332112), we get a palindrome (441474474144).

The spelling of 211233142032 in words is "two hundred eleven billion, two hundred thirty-three million, one hundred forty-two thousand, thirty-two".