212401152 has 132 divisors (see below), whose sum is σ = 646115080. Its totient is φ = 67018752.

The previous prime is 212401117. The next prime is 212401177. The reversal of 212401152 is 251104212.

212401152 is a `hidden beast` number, since 212 + 401 + 1 + 52 = 666.

It is a super-2 number, since 2×212401152² = 90228498741854208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174498 + ... + 175710.

Almost surely, 2^212401152 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 212401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323057540).

212401152 is an abundant number, since it is smaller than the sum of its proper divisors (433713928).

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

212401152 is a wasteful number, since it uses less digits than its factorization.

212401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 212401152 is about 14573.9888843103. The cubic root of 212401152 is about 596.6490534352.

Adding to 212401152 its reverse (251104212), we get a palindrome (463505364).

The spelling of 212401152 in words is "two hundred twelve million, four hundred one thousand, one hundred fifty-two".