212114032 has 80 divisors (see below), whose sum is σ = 472469760. Its totient is φ = 91385856.

The previous prime is 212114029. The next prime is 212114041. The reversal of 212114032 is 230411212.

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

It is a junction number, because it is equal to n+sod(n) for n = 212113997 and 212114015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 788394 + ... + 788662.

It is an arithmetic number, because the mean of its divisors is an integer number (5905872).

Almost surely, 2^212114032 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 212114032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236234880).

212114032 is an abundant number, since it is smaller than the sum of its proper divisors (260355728).

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

212114032 is a wasteful number, since it uses less digits than its factorization.

212114032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 524 counting only the distinct ones).

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

The square root of 212114032 is about 14564.1351270853. The cubic root of 212114032 is about 596.3800857707.

Adding to 212114032 its reverse (230411212), we get a palindrome (442525244).

It can be divided in two parts, 212 and 114032, that added together give a square (114244 = 338²).

The spelling of 212114032 in words is "two hundred twelve million, one hundred fourteen thousand, thirty-two".