212252040 has 768 divisors, whose sum is σ = 1006387200. Its totient is φ = 37324800.

The previous prime is 212252023. The next prime is 212252063. The reversal of 212252040 is 40252212.

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6846825 + ... + 6846855.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^212252040 is an apocalyptic number.

212252040 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 212252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503193600).

212252040 is an abundant number, since it is smaller than the sum of its proper divisors (794135160).

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

212252040 is a wasteful number, since it uses less digits than its factorization.

212252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 212252040 is about 14568.8722967840. The cubic root of 212252040 is about 596.5093988866.

It can be divided in two parts, 212 and 252040, that added together give a palindrome (252252).

The spelling of 212252040 in words is "two hundred twelve million, two hundred fifty-two thousand, forty".